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Finding the Fourth Proportional to 402,031.83, 603,027.95 and 149,361.51

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Solution

The fourth proportional to 402,031.83, 603,027.95 and 149,361.51 is: 224,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,031.83 : 603,027.95 = 149,361.51 : x
  2. Step 2: Convert to fraction form
    402,031.83/603,027.95 = 149,361.51/x
  3. Step 3: Cross multiply
    402,031.83x = 603,027.95 × 149,361.51
  4. Step 4: Simplify right side
    402,031.83x = 90,069,164,437.40
  5. Step 5: Solve for x
    x = 90,069,164,437.40/402,031.83
  6. Step 6: Final answer
    x = 224,034.91

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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.