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Finding the Fourth Proportional to 101,281.60, 152,017.71 and 51,397.48

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Solution

The fourth proportional to 101,281.60, 152,017.71 and 51,397.48 is: 77,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,281.60 : 152,017.71 = 51,397.48 : x
  2. Step 2: Convert to fraction form
    101,281.60/152,017.71 = 51,397.48/x
  3. Step 3: Cross multiply
    101,281.60x = 152,017.71 × 51,397.48
  4. Step 4: Simplify right side
    101,281.60x = 7,813,327,209.37
  5. Step 5: Solve for x
    x = 7,813,327,209.37/101,281.60
  6. Step 6: Final answer
    x = 77,144.59

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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.