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Finding the Fourth Proportional to 109,402.34, 150,973.13 and 61,654.73

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Solution

The fourth proportional to 109,402.34, 150,973.13 and 61,654.73 is: 85,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,402.34 : 150,973.13 = 61,654.73 : x
  2. Step 2: Convert to fraction form
    109,402.34/150,973.13 = 61,654.73/x
  3. Step 3: Cross multiply
    109,402.34x = 150,973.13 × 61,654.73
  4. Step 4: Simplify right side
    109,402.34x = 9,308,207,567.40
  5. Step 5: Solve for x
    x = 9,308,207,567.40/109,402.34
  6. Step 6: Final answer
    x = 85,082.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.