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Finding the Fourth Proportional to 157,050.40, 235,316.40 and 133,722.40

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Solution

The fourth proportional to 157,050.40, 235,316.40 and 133,722.40 is: 200,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,050.40 : 235,316.40 = 133,722.40 : x
  2. Step 2: Convert to fraction form
    157,050.40/235,316.40 = 133,722.40/x
  3. Step 3: Cross multiply
    157,050.40x = 235,316.40 × 133,722.40
  4. Step 4: Simplify right side
    157,050.40x = 31,467,073,767.36
  5. Step 5: Solve for x
    x = 31,467,073,767.36/157,050.40
  6. Step 6: Final answer
    x = 200,362.90

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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.