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Finding the Fourth Proportional to 101,807.68, 152,771.28 and 42,638.80

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Solution

The fourth proportional to 101,807.68, 152,771.28 and 42,638.80 is: 63,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,807.68 : 152,771.28 = 42,638.80 : x
  2. Step 2: Convert to fraction form
    101,807.68/152,771.28 = 42,638.80/x
  3. Step 3: Cross multiply
    101,807.68x = 152,771.28 × 42,638.80
  4. Step 4: Simplify right side
    101,807.68x = 6,513,984,053.66
  5. Step 5: Solve for x
    x = 6,513,984,053.66/101,807.68
  6. Step 6: Final answer
    x = 63,983.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.