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Finding the Fourth Proportional to 401,833.52, 602,730.48 and 149,163.20

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Solution

The fourth proportional to 401,833.52, 602,730.48 and 149,163.20 is: 223,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,833.52 : 602,730.48 = 149,163.20 : x
  2. Step 2: Convert to fraction form
    401,833.52/602,730.48 = 149,163.20/x
  3. Step 3: Cross multiply
    401,833.52x = 602,730.48 × 149,163.20
  4. Step 4: Simplify right side
    401,833.52x = 89,905,207,134.34
  5. Step 5: Solve for x
    x = 89,905,207,134.34/401,833.52
  6. Step 6: Final answer
    x = 223,737.45

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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.