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Finding the Fourth Proportional to 224,202.72, 309,526.48 and 148,854.24

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Solution

The fourth proportional to 224,202.72, 309,526.48 and 148,854.24 is: 205,502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,202.72 : 309,526.48 = 148,854.24 : x
  2. Step 2: Convert to fraction form
    224,202.72/309,526.48 = 148,854.24/x
  3. Step 3: Cross multiply
    224,202.72x = 309,526.48 × 148,854.24
  4. Step 4: Simplify right side
    224,202.72x = 46,074,328,940.28
  5. Step 5: Solve for x
    x = 46,074,328,940.28/224,202.72
  6. Step 6: Final answer
    x = 205,502.99

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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.