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Finding the Fourth Proportional to 147,097.97, 220,646.96 and 102,811.22

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Solution

The fourth proportional to 147,097.97, 220,646.96 and 102,811.22 is: 154,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,097.97 : 220,646.96 = 102,811.22 : x
  2. Step 2: Convert to fraction form
    147,097.97/220,646.96 = 102,811.22/x
  3. Step 3: Cross multiply
    147,097.97x = 220,646.96 × 102,811.22
  4. Step 4: Simplify right side
    147,097.97x = 22,684,983,184.45
  5. Step 5: Solve for x
    x = 22,684,983,184.45/147,097.97
  6. Step 6: Final answer
    x = 154,216.83

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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.