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Finding the Fourth Proportional to 185,587.64, 278,133.60 and 96,654.68

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Solution

The fourth proportional to 185,587.64, 278,133.60 and 96,654.68 is: 144,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,587.64 : 278,133.60 = 96,654.68 : x
  2. Step 2: Convert to fraction form
    185,587.64/278,133.60 = 96,654.68/x
  3. Step 3: Cross multiply
    185,587.64x = 278,133.60 × 96,654.68
  4. Step 4: Simplify right side
    185,587.64x = 26,882,914,105.25
  5. Step 5: Solve for x
    x = 26,882,914,105.25/185,587.64
  6. Step 6: Final answer
    x = 144,852.93

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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.