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Finding the Fourth Proportional to 156,957.13, 235,484.70 and 51,849.91

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Solution

The fourth proportional to 156,957.13, 235,484.70 and 51,849.91 is: 77,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957.13 : 235,484.70 = 51,849.91 : x
  2. Step 2: Convert to fraction form
    156,957.13/235,484.70 = 51,849.91/x
  3. Step 3: Cross multiply
    156,957.13x = 235,484.70 × 51,849.91
  4. Step 4: Simplify right side
    156,957.13x = 12,209,860,501.38
  5. Step 5: Solve for x
    x = 12,209,860,501.38/156,957.13
  6. Step 6: Final answer
    x = 77,791.05

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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.