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Finding the Fourth Proportional to 252,314.93, 378,043.95 and 152,264.90

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Solution

The fourth proportional to 252,314.93, 378,043.95 and 152,264.90 is: 228,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,314.93 : 378,043.95 = 152,264.90 : x
  2. Step 2: Convert to fraction form
    252,314.93/378,043.95 = 152,264.90/x
  3. Step 3: Cross multiply
    252,314.93x = 378,043.95 × 152,264.90
  4. Step 4: Simplify right side
    252,314.93x = 57,562,822,352.14
  5. Step 5: Solve for x
    x = 57,562,822,352.14/252,314.93
  6. Step 6: Final answer
    x = 228,138.79

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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.