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Finding the Fourth Proportional to 238,168.40, 357,079.80 and 97,854.80

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Solution

The fourth proportional to 238,168.40, 357,079.80 and 97,854.80 is: 146,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,168.40 : 357,079.80 = 97,854.80 : x
  2. Step 2: Convert to fraction form
    238,168.40/357,079.80 = 97,854.80/x
  3. Step 3: Cross multiply
    238,168.40x = 357,079.80 × 97,854.80
  4. Step 4: Simplify right side
    238,168.40x = 34,941,972,413.04
  5. Step 5: Solve for x
    x = 34,941,972,413.04/238,168.40
  6. Step 6: Final answer
    x = 146,711.20

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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.