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Finding the Fourth Proportional to 147,920.68, 204,298.86 and 99,438.40

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Solution

The fourth proportional to 147,920.68, 204,298.86 and 99,438.40 is: 137,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,920.68 : 204,298.86 = 99,438.40 : x
  2. Step 2: Convert to fraction form
    147,920.68/204,298.86 = 99,438.40/x
  3. Step 3: Cross multiply
    147,920.68x = 204,298.86 × 99,438.40
  4. Step 4: Simplify right side
    147,920.68x = 20,315,151,760.22
  5. Step 5: Solve for x
    x = 20,315,151,760.22/147,920.68
  6. Step 6: Final answer
    x = 137,338.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.