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Finding the Fourth Proportional to 202,134.90, 302,947.20 and 102,322.65

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Solution

The fourth proportional to 202,134.90, 302,947.20 and 102,322.65 is: 153,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,134.90 : 302,947.20 = 102,322.65 : x
  2. Step 2: Convert to fraction form
    202,134.90/302,947.20 = 102,322.65/x
  3. Step 3: Cross multiply
    202,134.90x = 302,947.20 × 102,322.65
  4. Step 4: Simplify right side
    202,134.90x = 30,998,360,314.08
  5. Step 5: Solve for x
    x = 30,998,360,314.08/202,134.90
  6. Step 6: Final answer
    x = 153,354.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.