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Finding the Fourth Proportional to 362,223.80, 542,946.90 and 137,497.40

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Solution

The fourth proportional to 362,223.80, 542,946.90 and 137,497.40 is: 206,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,223.80 : 542,946.90 = 137,497.40 : x
  2. Step 2: Convert to fraction form
    362,223.80/542,946.90 = 137,497.40/x
  3. Step 3: Cross multiply
    362,223.80x = 542,946.90 × 137,497.40
  4. Step 4: Simplify right side
    362,223.80x = 74,653,787,088.06
  5. Step 5: Solve for x
    x = 74,653,787,088.06/362,223.80
  6. Step 6: Final answer
    x = 206,098.51

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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.