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Finding the Fourth Proportional to 114,765.20, 172,141.12 and 51,569

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Solution

The fourth proportional to 114,765.20, 172,141.12 and 51,569 is: 77,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,765.20 : 172,141.12 = 51,569 : x
  2. Step 2: Convert to fraction form
    114,765.20/172,141.12 = 51,569/x
  3. Step 3: Cross multiply
    114,765.20x = 172,141.12 × 51,569
  4. Step 4: Simplify right side
    114,765.20x = 8,877,145,417.28
  5. Step 5: Solve for x
    x = 8,877,145,417.28/114,765.20
  6. Step 6: Final answer
    x = 77,350.50

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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.