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Finding the Fourth Proportional to 145,231.30, 202,909.10 and 145,231.30

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Solution

The fourth proportional to 145,231.30, 202,909.10 and 145,231.30 is: 202,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,231.30 : 202,909.10 = 145,231.30 : x
  2. Step 2: Convert to fraction form
    145,231.30/202,909.10 = 145,231.30/x
  3. Step 3: Cross multiply
    145,231.30x = 202,909.10 × 145,231.30
  4. Step 4: Simplify right side
    145,231.30x = 29,468,752,374.83
  5. Step 5: Solve for x
    x = 29,468,752,374.83/145,231.30
  6. Step 6: Final answer
    x = 202,909.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.