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Finding the Fourth Proportional to 218,452.56, 301,557.45 and 146,874.08

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Solution

The fourth proportional to 218,452.56, 301,557.45 and 146,874.08 is: 202,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,452.56 : 301,557.45 = 146,874.08 : x
  2. Step 2: Convert to fraction form
    218,452.56/301,557.45 = 146,874.08/x
  3. Step 3: Cross multiply
    218,452.56x = 301,557.45 × 146,874.08
  4. Step 4: Simplify right side
    218,452.56x = 44,290,971,528.11
  5. Step 5: Solve for x
    x = 44,290,971,528.11/218,452.56
  6. Step 6: Final answer
    x = 202,748.70

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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.