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Finding the Fourth Proportional to 101,500.17, 140,069.16 and 56,178.24

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Solution

The fourth proportional to 101,500.17, 140,069.16 and 56,178.24 is: 77,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,500.17 : 140,069.16 = 56,178.24 : x
  2. Step 2: Convert to fraction form
    101,500.17/140,069.16 = 56,178.24/x
  3. Step 3: Cross multiply
    101,500.17x = 140,069.16 × 56,178.24
  4. Step 4: Simplify right side
    101,500.17x = 7,868,838,887.08
  5. Step 5: Solve for x
    x = 7,868,838,887.08/101,500.17
  6. Step 6: Final answer
    x = 77,525.38

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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.