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Finding the Fourth Proportional to 238,410.40, 357,097.20 and 144,752.80

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Solution

The fourth proportional to 238,410.40, 357,097.20 and 144,752.80 is: 216,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,410.40 : 357,097.20 = 144,752.80 : x
  2. Step 2: Convert to fraction form
    238,410.40/357,097.20 = 144,752.80/x
  3. Step 3: Cross multiply
    238,410.40x = 357,097.20 × 144,752.80
  4. Step 4: Simplify right side
    238,410.40x = 51,690,819,572.16
  5. Step 5: Solve for x
    x = 51,690,819,572.16/238,410.40
  6. Step 6: Final answer
    x = 216,814.45

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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.