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Finding the Fourth Proportional to 153,599, 211,977.50 and 86,531

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Solution

The fourth proportional to 153,599, 211,977.50 and 86,531 is: 119,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,599 : 211,977.50 = 86,531 : x
  2. Step 2: Convert to fraction form
    153,599/211,977.50 = 86,531/x
  3. Step 3: Cross multiply
    153,599x = 211,977.50 × 86,531
  4. Step 4: Simplify right side
    153,599x = 18,342,625,052.50
  5. Step 5: Solve for x
    x = 18,342,625,052.50/153,599
  6. Step 6: Final answer
    x = 119,418.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.