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Finding the Fourth Proportional to 157,878.87, 236,911.71 and 58,109.13

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Solution

The fourth proportional to 157,878.87, 236,911.71 and 58,109.13 is: 87,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,878.87 : 236,911.71 = 58,109.13 : x
  2. Step 2: Convert to fraction form
    157,878.87/236,911.71 = 58,109.13/x
  3. Step 3: Cross multiply
    157,878.87x = 236,911.71 × 58,109.13
  4. Step 4: Simplify right side
    157,878.87x = 13,766,733,354.91
  5. Step 5: Solve for x
    x = 13,766,733,354.91/157,878.87
  6. Step 6: Final answer
    x = 87,198.07

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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.