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Finding the Fourth Proportional to 252,275.44, 348,200.76 and 151,654

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Solution

The fourth proportional to 252,275.44, 348,200.76 and 151,654 is: 209,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,275.44 : 348,200.76 = 151,654 : x
  2. Step 2: Convert to fraction form
    252,275.44/348,200.76 = 151,654/x
  3. Step 3: Cross multiply
    252,275.44x = 348,200.76 × 151,654
  4. Step 4: Simplify right side
    252,275.44x = 52,806,038,057.04
  5. Step 5: Solve for x
    x = 52,806,038,057.04/252,275.44
  6. Step 6: Final answer
    x = 209,318.98

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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.