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Finding the Fourth Proportional to 252,101.40, 378,152.10 and 162,871.80

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Solution

The fourth proportional to 252,101.40, 378,152.10 and 162,871.80 is: 244,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,101.40 : 378,152.10 = 162,871.80 : x
  2. Step 2: Convert to fraction form
    252,101.40/378,152.10 = 162,871.80/x
  3. Step 3: Cross multiply
    252,101.40x = 378,152.10 × 162,871.80
  4. Step 4: Simplify right side
    252,101.40x = 61,590,313,200.78
  5. Step 5: Solve for x
    x = 61,590,313,200.78/252,101.40
  6. Step 6: Final answer
    x = 244,307.70

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Why These Related Problems?

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