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Finding the Fourth Proportional to 157,074.90, 235,353.15 and 133,746.90

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Solution

The fourth proportional to 157,074.90, 235,353.15 and 133,746.90 is: 200,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,074.90 : 235,353.15 = 133,746.90 : x
  2. Step 2: Convert to fraction form
    157,074.90/235,353.15 = 133,746.90/x
  3. Step 3: Cross multiply
    157,074.90x = 235,353.15 × 133,746.90
  4. Step 4: Simplify right side
    157,074.90x = 31,477,754,217.74
  5. Step 5: Solve for x
    x = 31,477,754,217.74/157,074.90
  6. Step 6: Final answer
    x = 200,399.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.