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Finding the Fourth Proportional to 101,543.87, 140,133.24 and 56,225.82

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Solution

The fourth proportional to 101,543.87, 140,133.24 and 56,225.82 is: 77,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,543.87 : 140,133.24 = 56,225.82 : x
  2. Step 2: Convert to fraction form
    101,543.87/140,133.24 = 56,225.82/x
  3. Step 3: Cross multiply
    101,543.87x = 140,133.24 × 56,225.82
  4. Step 4: Simplify right side
    101,543.87x = 7,879,106,853.76
  5. Step 5: Solve for x
    x = 7,879,106,853.76/101,543.87
  6. Step 6: Final answer
    x = 77,593.13

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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.