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Finding the Fourth Proportional to 238,206.80, 357,174.12 and 97,850

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Solution

The fourth proportional to 238,206.80, 357,174.12 and 97,850 is: 146,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,206.80 : 357,174.12 = 97,850 : x
  2. Step 2: Convert to fraction form
    238,206.80/357,174.12 = 97,850/x
  3. Step 3: Cross multiply
    238,206.80x = 357,174.12 × 97,850
  4. Step 4: Simplify right side
    238,206.80x = 34,949,487,642
  5. Step 5: Solve for x
    x = 34,949,487,642/238,206.80
  6. Step 6: Final answer
    x = 146,719.10

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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.