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Finding the Fourth Proportional to 185,419.80, 278,064.90 and 96,643.80

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Solution

The fourth proportional to 185,419.80, 278,064.90 and 96,643.80 is: 144,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,419.80 : 278,064.90 = 96,643.80 : x
  2. Step 2: Convert to fraction form
    185,419.80/278,064.90 = 96,643.80/x
  3. Step 3: Cross multiply
    185,419.80x = 278,064.90 × 96,643.80
  4. Step 4: Simplify right side
    185,419.80x = 26,873,248,582.62
  5. Step 5: Solve for x
    x = 26,873,248,582.62/185,419.80
  6. Step 6: Final answer
    x = 144,931.93

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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.