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Finding the Fourth Proportional to 101,468.16, 152,241.12 and 38,283.84

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Solution

The fourth proportional to 101,468.16, 152,241.12 and 38,283.84 is: 57,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,468.16 : 152,241.12 = 38,283.84 : x
  2. Step 2: Convert to fraction form
    101,468.16/152,241.12 = 38,283.84/x
  3. Step 3: Cross multiply
    101,468.16x = 152,241.12 × 38,283.84
  4. Step 4: Simplify right side
    101,468.16x = 5,828,374,679.50
  5. Step 5: Solve for x
    x = 5,828,374,679.50/101,468.16
  6. Step 6: Final answer
    x = 57,440.43

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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.