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Finding the Fourth Proportional to 152,083.85, 209,886.53 and 84,099.47

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Solution

The fourth proportional to 152,083.85, 209,886.53 and 84,099.47 is: 116,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,083.85 : 209,886.53 = 84,099.47 : x
  2. Step 2: Convert to fraction form
    152,083.85/209,886.53 = 84,099.47/x
  3. Step 3: Cross multiply
    152,083.85x = 209,886.53 × 84,099.47
  4. Step 4: Simplify right side
    152,083.85x = 17,651,344,463.21
  5. Step 5: Solve for x
    x = 17,651,344,463.21/152,083.85
  6. Step 6: Final answer
    x = 116,063.24

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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.