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Finding the Fourth Proportional to 157,111.40, 235,407.90 and 133,783.40

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Solution

The fourth proportional to 157,111.40, 235,407.90 and 133,783.40 is: 200,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,111.40 : 235,407.90 = 133,783.40 : x
  2. Step 2: Convert to fraction form
    157,111.40/235,407.90 = 133,783.40/x
  3. Step 3: Cross multiply
    157,111.40x = 235,407.90 × 133,783.40
  4. Step 4: Simplify right side
    157,111.40x = 31,493,669,248.86
  5. Step 5: Solve for x
    x = 31,493,669,248.86/157,111.40
  6. Step 6: Final answer
    x = 200,454.39

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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.