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Finding the Fourth Proportional to 288,097.60, 432,016.80 and 130,244.80

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Solution

The fourth proportional to 288,097.60, 432,016.80 and 130,244.80 is: 195,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,097.60 : 432,016.80 = 130,244.80 : x
  2. Step 2: Convert to fraction form
    288,097.60/432,016.80 = 130,244.80/x
  3. Step 3: Cross multiply
    288,097.60x = 432,016.80 × 130,244.80
  4. Step 4: Simplify right side
    288,097.60x = 56,267,941,712.64
  5. Step 5: Solve for x
    x = 56,267,941,712.64/288,097.60
  6. Step 6: Final answer
    x = 195,308.61

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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.