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Finding the Fourth Proportional to 155,246.38, 233,032.43 and 137,590

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Solution

The fourth proportional to 155,246.38, 233,032.43 and 137,590 is: 206,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,246.38 : 233,032.43 = 137,590 : x
  2. Step 2: Convert to fraction form
    155,246.38/233,032.43 = 137,590/x
  3. Step 3: Cross multiply
    155,246.38x = 233,032.43 × 137,590
  4. Step 4: Simplify right side
    155,246.38x = 32,062,932,043.70
  5. Step 5: Solve for x
    x = 32,062,932,043.70/155,246.38
  6. Step 6: Final answer
    x = 206,529.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.