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Finding the Fourth Proportional to 172,262.16, 258,364 and 47,603.52

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Solution

The fourth proportional to 172,262.16, 258,364 and 47,603.52 is: 71,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,262.16 : 258,364 = 47,603.52 : x
  2. Step 2: Convert to fraction form
    172,262.16/258,364 = 47,603.52/x
  3. Step 3: Cross multiply
    172,262.16x = 258,364 × 47,603.52
  4. Step 4: Simplify right side
    172,262.16x = 12,299,035,841.28
  5. Step 5: Solve for x
    x = 12,299,035,841.28/172,262.16
  6. Step 6: Final answer
    x = 71,397.20

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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.