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Finding the Fourth Proportional to 252,236.40, 347,967.48 and 150,203.76

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Solution

The fourth proportional to 252,236.40, 347,967.48 and 150,203.76 is: 207,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,236.40 : 347,967.48 = 150,203.76 : x
  2. Step 2: Convert to fraction form
    252,236.40/347,967.48 = 150,203.76/x
  3. Step 3: Cross multiply
    252,236.40x = 347,967.48 × 150,203.76
  4. Step 4: Simplify right side
    252,236.40x = 52,266,023,853.72
  5. Step 5: Solve for x
    x = 52,266,023,853.72/252,236.40
  6. Step 6: Final answer
    x = 207,210.47

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1.5x scale

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.