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Finding the Fourth Proportional to 213,340.38, 294,250.02 and 148,812.90

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Solution

The fourth proportional to 213,340.38, 294,250.02 and 148,812.90 is: 205,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,340.38 : 294,250.02 = 148,812.90 : x
  2. Step 2: Convert to fraction form
    213,340.38/294,250.02 = 148,812.90/x
  3. Step 3: Cross multiply
    213,340.38x = 294,250.02 × 148,812.90
  4. Step 4: Simplify right side
    213,340.38x = 43,788,198,801.26
  5. Step 5: Solve for x
    x = 43,788,198,801.26/213,340.38
  6. Step 6: Final answer
    x = 205,250.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.