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Finding the Fourth Proportional to 110,507.92, 165,877.82 and 97,938.10

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Solution

The fourth proportional to 110,507.92, 165,877.82 and 97,938.10 is: 147,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,507.92 : 165,877.82 = 97,938.10 : x
  2. Step 2: Convert to fraction form
    110,507.92/165,877.82 = 97,938.10/x
  3. Step 3: Cross multiply
    110,507.92x = 165,877.82 × 97,938.10
  4. Step 4: Simplify right side
    110,507.92x = 16,245,758,522.94
  5. Step 5: Solve for x
    x = 16,245,758,522.94/110,507.92
  6. Step 6: Final answer
    x = 147,009.90

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1.5x scale

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.