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Finding the Fourth Proportional to 144,098.94, 216,148.14 and 80,097.78

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Solution

The fourth proportional to 144,098.94, 216,148.14 and 80,097.78 is: 120,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,098.94 : 216,148.14 = 80,097.78 : x
  2. Step 2: Convert to fraction form
    144,098.94/216,148.14 = 80,097.78/x
  3. Step 3: Cross multiply
    144,098.94x = 216,148.14 × 80,097.78
  4. Step 4: Simplify right side
    144,098.94x = 17,312,986,165.13
  5. Step 5: Solve for x
    x = 17,312,986,165.13/144,098.94
  6. Step 6: Final answer
    x = 120,146.52

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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.