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Finding the Fourth Proportional to 401,614.08, 602,037.12 and 148,826.88

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Solution

The fourth proportional to 401,614.08, 602,037.12 and 148,826.88 is: 223,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,614.08 : 602,037.12 = 148,826.88 : x
  2. Step 2: Convert to fraction form
    401,614.08/602,037.12 = 148,826.88/x
  3. Step 3: Cross multiply
    401,614.08x = 602,037.12 × 148,826.88
  4. Step 4: Simplify right side
    401,614.08x = 89,599,306,213.79
  5. Step 5: Solve for x
    x = 89,599,306,213.79/401,614.08
  6. Step 6: Final answer
    x = 223,098.02

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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.