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Finding the Fourth Proportional to 101,752.86, 140,418.93 and 56,437.77

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Solution

The fourth proportional to 101,752.86, 140,418.93 and 56,437.77 is: 77,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,752.86 : 140,418.93 = 56,437.77 : x
  2. Step 2: Convert to fraction form
    101,752.86/140,418.93 = 56,437.77/x
  3. Step 3: Cross multiply
    101,752.86x = 140,418.93 × 56,437.77
  4. Step 4: Simplify right side
    101,752.86x = 7,924,931,274.99
  5. Step 5: Solve for x
    x = 7,924,931,274.99/101,752.86
  6. Step 6: Final answer
    x = 77,884.11

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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.