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Finding the Fourth Proportional to 78,005.40, 117,008.10 and 77,227.80

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Solution

The fourth proportional to 78,005.40, 117,008.10 and 77,227.80 is: 115,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.40 : 117,008.10 = 77,227.80 : x
  2. Step 2: Convert to fraction form
    78,005.40/117,008.10 = 77,227.80/x
  3. Step 3: Cross multiply
    78,005.40x = 117,008.10 × 77,227.80
  4. Step 4: Simplify right side
    78,005.40x = 9,036,278,145.18
  5. Step 5: Solve for x
    x = 9,036,278,145.18/78,005.40
  6. Step 6: Final answer
    x = 115,841.70

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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.