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Finding the Fourth Proportional to 101,952.68, 152,929.02 and 66,523.28

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Solution

The fourth proportional to 101,952.68, 152,929.02 and 66,523.28 is: 99,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952.68 : 152,929.02 = 66,523.28 : x
  2. Step 2: Convert to fraction form
    101,952.68/152,929.02 = 66,523.28/x
  3. Step 3: Cross multiply
    101,952.68x = 152,929.02 × 66,523.28
  4. Step 4: Simplify right side
    101,952.68x = 10,173,338,920.32
  5. Step 5: Solve for x
    x = 10,173,338,920.32/101,952.68
  6. Step 6: Final answer
    x = 99,784.91

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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.