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Finding the Fourth Proportional to 157,000.61, 235,537.65 and 51,819.47

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Solution

The fourth proportional to 157,000.61, 235,537.65 and 51,819.47 is: 77,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,000.61 : 235,537.65 = 51,819.47 : x
  2. Step 2: Convert to fraction form
    157,000.61/235,537.65 = 51,819.47/x
  3. Step 3: Cross multiply
    157,000.61x = 235,537.65 × 51,819.47
  4. Step 4: Simplify right side
    157,000.61x = 12,205,435,010.36
  5. Step 5: Solve for x
    x = 12,205,435,010.36/157,000.61
  6. Step 6: Final answer
    x = 77,741.32

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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.