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Finding the Fourth Proportional to 252,551.76, 348,510.42 and 137,827.50

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Solution

The fourth proportional to 252,551.76, 348,510.42 and 137,827.50 is: 190,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,551.76 : 348,510.42 = 137,827.50 : x
  2. Step 2: Convert to fraction form
    252,551.76/348,510.42 = 137,827.50/x
  3. Step 3: Cross multiply
    252,551.76x = 348,510.42 × 137,827.50
  4. Step 4: Simplify right side
    252,551.76x = 48,034,319,912.55
  5. Step 5: Solve for x
    x = 48,034,319,912.55/252,551.76
  6. Step 6: Final answer
    x = 190,195.94

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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.