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Finding the Fourth Proportional to 111,264.96, 165,904.90 and 98,901.12

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Solution

The fourth proportional to 111,264.96, 165,904.90 and 98,901.12 is: 147,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,264.96 : 165,904.90 = 98,901.12 : x
  2. Step 2: Convert to fraction form
    111,264.96/165,904.90 = 98,901.12/x
  3. Step 3: Cross multiply
    111,264.96x = 165,904.90 × 98,901.12
  4. Step 4: Simplify right side
    111,264.96x = 16,408,180,423.49
  5. Step 5: Solve for x
    x = 16,408,180,423.49/111,264.96
  6. Step 6: Final answer
    x = 147,469.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.