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Finding the Fourth Proportional to 152,049.73, 209,820.14 and 84,062.74

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Solution

The fourth proportional to 152,049.73, 209,820.14 and 84,062.74 is: 116,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,049.73 : 209,820.14 = 84,062.74 : x
  2. Step 2: Convert to fraction form
    152,049.73/209,820.14 = 84,062.74/x
  3. Step 3: Cross multiply
    152,049.73x = 209,820.14 × 84,062.74
  4. Step 4: Simplify right side
    152,049.73x = 17,638,055,036.64
  5. Step 5: Solve for x
    x = 17,638,055,036.64/152,049.73
  6. Step 6: Final answer
    x = 116,001.89

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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.