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Finding the Fourth Proportional to 157,113.34, 235,706.91 and 51,932.30

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Solution

The fourth proportional to 157,113.34, 235,706.91 and 51,932.30 is: 77,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,113.34 : 235,706.91 = 51,932.30 : x
  2. Step 2: Convert to fraction form
    157,113.34/235,706.91 = 51,932.30/x
  3. Step 3: Cross multiply
    157,113.34x = 235,706.91 × 51,932.30
  4. Step 4: Simplify right side
    157,113.34x = 12,240,801,962.19
  5. Step 5: Solve for x
    x = 12,240,801,962.19/157,113.34
  6. Step 6: Final answer
    x = 77,910.65

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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.