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Finding the Fourth Proportional to 96,265.80, 144,423.03 and 77,714.40

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Solution

The fourth proportional to 96,265.80, 144,423.03 and 77,714.40 is: 116,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,265.80 : 144,423.03 = 77,714.40 : x
  2. Step 2: Convert to fraction form
    96,265.80/144,423.03 = 77,714.40/x
  3. Step 3: Cross multiply
    96,265.80x = 144,423.03 × 77,714.40
  4. Step 4: Simplify right side
    96,265.80x = 11,223,749,122.63
  5. Step 5: Solve for x
    x = 11,223,749,122.63/96,265.80
  6. Step 6: Final answer
    x = 116,591.24

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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.