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Finding the Fourth Proportional to 171,665.40, 257,498.10 and 160,001.40

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Solution

The fourth proportional to 171,665.40, 257,498.10 and 160,001.40 is: 240,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,665.40 : 257,498.10 = 160,001.40 : x
  2. Step 2: Convert to fraction form
    171,665.40/257,498.10 = 160,001.40/x
  3. Step 3: Cross multiply
    171,665.40x = 257,498.10 × 160,001.40
  4. Step 4: Simplify right side
    171,665.40x = 41,200,056,497.34
  5. Step 5: Solve for x
    x = 41,200,056,497.34/171,665.40
  6. Step 6: Final answer
    x = 240,002.10

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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.