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Finding the Fourth Proportional to 152,966.44, 211,092.42 and 85,897

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Solution

The fourth proportional to 152,966.44, 211,092.42 and 85,897 is: 118,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,966.44 : 211,092.42 = 85,897 : x
  2. Step 2: Convert to fraction form
    152,966.44/211,092.42 = 85,897/x
  3. Step 3: Cross multiply
    152,966.44x = 211,092.42 × 85,897
  4. Step 4: Simplify right side
    152,966.44x = 18,132,205,600.74
  5. Step 5: Solve for x
    x = 18,132,205,600.74/152,966.44
  6. Step 6: Final answer
    x = 118,537.15

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