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Finding the Fourth Proportional to 101,598, 140,200.92 and 56,275.80

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Solution

The fourth proportional to 101,598, 140,200.92 and 56,275.80 is: 77,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,598 : 140,200.92 = 56,275.80 : x
  2. Step 2: Convert to fraction form
    101,598/140,200.92 = 56,275.80/x
  3. Step 3: Cross multiply
    101,598x = 140,200.92 × 56,275.80
  4. Step 4: Simplify right side
    101,598x = 7,889,918,933.74
  5. Step 5: Solve for x
    x = 7,889,918,933.74/101,598
  6. Step 6: Final answer
    x = 77,658.21

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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.