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Finding the Fourth Proportional to 238,065.80, 357,098.70 and 97,752.20

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Solution

The fourth proportional to 238,065.80, 357,098.70 and 97,752.20 is: 146,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,065.80 : 357,098.70 = 97,752.20 : x
  2. Step 2: Convert to fraction form
    238,065.80/357,098.70 = 97,752.20/x
  3. Step 3: Cross multiply
    238,065.80x = 357,098.70 × 97,752.20
  4. Step 4: Simplify right side
    238,065.80x = 34,907,183,542.14
  5. Step 5: Solve for x
    x = 34,907,183,542.14/238,065.80
  6. Step 6: Final answer
    x = 146,628.30

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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.