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Finding the Fourth Proportional to 172,307.16, 258,371.90 and 77,456.30

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Solution

The fourth proportional to 172,307.16, 258,371.90 and 77,456.30 is: 116,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,307.16 : 258,371.90 = 77,456.30 : x
  2. Step 2: Convert to fraction form
    172,307.16/258,371.90 = 77,456.30/x
  3. Step 3: Cross multiply
    172,307.16x = 258,371.90 × 77,456.30
  4. Step 4: Simplify right side
    172,307.16x = 20,012,529,718.83
  5. Step 5: Solve for x
    x = 20,012,529,718.83/172,307.16
  6. Step 6: Final answer
    x = 116,144.50

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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.