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Finding the Fourth Proportional to 172,476, 258,715.17 and 65,831.20

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Solution

The fourth proportional to 172,476, 258,715.17 and 65,831.20 is: 98,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,476 : 258,715.17 = 65,831.20 : x
  2. Step 2: Convert to fraction form
    172,476/258,715.17 = 65,831.20/x
  3. Step 3: Cross multiply
    172,476x = 258,715.17 × 65,831.20
  4. Step 4: Simplify right side
    172,476x = 17,031,529,452.52
  5. Step 5: Solve for x
    x = 17,031,529,452.52/172,476
  6. Step 6: Final answer
    x = 98,747.24

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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.