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Finding the Fourth Proportional to 101,209.50, 139,669.11 and 56,497.50

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Solution

The fourth proportional to 101,209.50, 139,669.11 and 56,497.50 is: 77,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,209.50 : 139,669.11 = 56,497.50 : x
  2. Step 2: Convert to fraction form
    101,209.50/139,669.11 = 56,497.50/x
  3. Step 3: Cross multiply
    101,209.50x = 139,669.11 × 56,497.50
  4. Step 4: Simplify right side
    101,209.50x = 7,890,955,542.23
  5. Step 5: Solve for x
    x = 7,890,955,542.23/101,209.50
  6. Step 6: Final answer
    x = 77,966.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.