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Finding the Fourth Proportional to 162,987.26, 224,969.32 and 98,446.23

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Solution

The fourth proportional to 162,987.26, 224,969.32 and 98,446.23 is: 135,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,987.26 : 224,969.32 = 98,446.23 : x
  2. Step 2: Convert to fraction form
    162,987.26/224,969.32 = 98,446.23/x
  3. Step 3: Cross multiply
    162,987.26x = 224,969.32 × 98,446.23
  4. Step 4: Simplify right side
    162,987.26x = 22,147,381,542.72
  5. Step 5: Solve for x
    x = 22,147,381,542.72/162,987.26
  6. Step 6: Final answer
    x = 135,884.13

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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.