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Finding the Fourth Proportional to 162,357.20, 224,052.56 and 94,414

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Solution

The fourth proportional to 162,357.20, 224,052.56 and 94,414 is: 130,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,357.20 : 224,052.56 = 94,414 : x
  2. Step 2: Convert to fraction form
    162,357.20/224,052.56 = 94,414/x
  3. Step 3: Cross multiply
    162,357.20x = 224,052.56 × 94,414
  4. Step 4: Simplify right side
    162,357.20x = 21,153,698,399.84
  5. Step 5: Solve for x
    x = 21,153,698,399.84/162,357.20
  6. Step 6: Final answer
    x = 130,291.10

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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.