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Finding the Fourth Proportional to 101,465.79, 140,002.88 and 56,135.30

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Solution

The fourth proportional to 101,465.79, 140,002.88 and 56,135.30 is: 77,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,465.79 : 140,002.88 = 56,135.30 : x
  2. Step 2: Convert to fraction form
    101,465.79/140,002.88 = 56,135.30/x
  3. Step 3: Cross multiply
    101,465.79x = 140,002.88 × 56,135.30
  4. Step 4: Simplify right side
    101,465.79x = 7,859,103,669.66
  5. Step 5: Solve for x
    x = 7,859,103,669.66/101,465.79
  6. Step 6: Final answer
    x = 77,455.70

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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.