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Finding the Fourth Proportional to 185,358.84, 278,084.96 and 85,588.96

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Solution

The fourth proportional to 185,358.84, 278,084.96 and 85,588.96 is: 128,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,358.84 : 278,084.96 = 85,588.96 : x
  2. Step 2: Convert to fraction form
    185,358.84/278,084.96 = 85,588.96/x
  3. Step 3: Cross multiply
    185,358.84x = 278,084.96 × 85,588.96
  4. Step 4: Simplify right side
    185,358.84x = 23,801,002,518.04
  5. Step 5: Solve for x
    x = 23,801,002,518.04/185,358.84
  6. Step 6: Final answer
    x = 128,405.00

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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.