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Finding the Fourth Proportional to 468,031.74, 702,153.24 and 148,203

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Solution

The fourth proportional to 468,031.74, 702,153.24 and 148,203 is: 222,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,031.74 : 702,153.24 = 148,203 : x
  2. Step 2: Convert to fraction form
    468,031.74/702,153.24 = 148,203/x
  3. Step 3: Cross multiply
    468,031.74x = 702,153.24 × 148,203
  4. Step 4: Simplify right side
    468,031.74x = 104,061,216,627.72
  5. Step 5: Solve for x
    x = 104,061,216,627.72/468,031.74
  6. Step 6: Final answer
    x = 222,337.95

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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.