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Finding the Fourth Proportional to 188,712.13, 282,853.59 and 98,615.93

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Solution

The fourth proportional to 188,712.13, 282,853.59 and 98,615.93 is: 147,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,712.13 : 282,853.59 = 98,615.93 : x
  2. Step 2: Convert to fraction form
    188,712.13/282,853.59 = 98,615.93/x
  3. Step 3: Cross multiply
    188,712.13x = 282,853.59 × 98,615.93
  4. Step 4: Simplify right side
    188,712.13x = 27,893,870,470.73
  5. Step 5: Solve for x
    x = 27,893,870,470.73/188,712.13
  6. Step 6: Final answer
    x = 147,811.75

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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.