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Finding the Fourth Proportional to 141,588, 212,382 and 58,484.16

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Solution

The fourth proportional to 141,588, 212,382 and 58,484.16 is: 87,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,588 : 212,382 = 58,484.16 : x
  2. Step 2: Convert to fraction form
    141,588/212,382 = 58,484.16/x
  3. Step 3: Cross multiply
    141,588x = 212,382 × 58,484.16
  4. Step 4: Simplify right side
    141,588x = 12,420,982,869.12
  5. Step 5: Solve for x
    x = 12,420,982,869.12/141,588
  6. Step 6: Final answer
    x = 87,726.24

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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.