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Finding the Fourth Proportional to 172,345.68, 258,521.76 and 54,014.40

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Solution

The fourth proportional to 172,345.68, 258,521.76 and 54,014.40 is: 81,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,345.68 : 258,521.76 = 54,014.40 : x
  2. Step 2: Convert to fraction form
    172,345.68/258,521.76 = 54,014.40/x
  3. Step 3: Cross multiply
    172,345.68x = 258,521.76 × 54,014.40
  4. Step 4: Simplify right side
    172,345.68x = 13,963,897,753.34
  5. Step 5: Solve for x
    x = 13,963,897,753.34/172,345.68
  6. Step 6: Final answer
    x = 81,022.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.