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Finding the Fourth Proportional to 185,645.16, 278,453.16 and 65,714.04

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Solution

The fourth proportional to 185,645.16, 278,453.16 and 65,714.04 is: 98,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,645.16 : 278,453.16 = 65,714.04 : x
  2. Step 2: Convert to fraction form
    185,645.16/278,453.16 = 65,714.04/x
  3. Step 3: Cross multiply
    185,645.16x = 278,453.16 × 65,714.04
  4. Step 4: Simplify right side
    185,645.16x = 18,298,282,094.37
  5. Step 5: Solve for x
    x = 18,298,282,094.37/185,645.16
  6. Step 6: Final answer
    x = 98,565.90

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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.