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Finding the Fourth Proportional to 145,145.20, 217,731.54 and 56,405.55

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Solution

The fourth proportional to 145,145.20, 217,731.54 and 56,405.55 is: 84,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,145.20 : 217,731.54 = 56,405.55 : x
  2. Step 2: Convert to fraction form
    145,145.20/217,731.54 = 56,405.55/x
  3. Step 3: Cross multiply
    145,145.20x = 217,731.54 × 56,405.55
  4. Step 4: Simplify right side
    145,145.20x = 12,281,267,266.05
  5. Step 5: Solve for x
    x = 12,281,267,266.05/145,145.20
  6. Step 6: Final answer
    x = 84,613.66

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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.