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Finding the Fourth Proportional to 101,425.40, 152,138.10 and 42,241.40

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Solution

The fourth proportional to 101,425.40, 152,138.10 and 42,241.40 is: 63,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,425.40 : 152,138.10 = 42,241.40 : x
  2. Step 2: Convert to fraction form
    101,425.40/152,138.10 = 42,241.40/x
  3. Step 3: Cross multiply
    101,425.40x = 152,138.10 × 42,241.40
  4. Step 4: Simplify right side
    101,425.40x = 6,426,526,337.34
  5. Step 5: Solve for x
    x = 6,426,526,337.34/101,425.40
  6. Step 6: Final answer
    x = 63,362.10

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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.