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Finding the Fourth Proportional to 252,443.17, 378,303.90 and 185,356.95

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Solution

The fourth proportional to 252,443.17, 378,303.90 and 185,356.95 is: 277,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,443.17 : 378,303.90 = 185,356.95 : x
  2. Step 2: Convert to fraction form
    252,443.17/378,303.90 = 185,356.95/x
  3. Step 3: Cross multiply
    252,443.17x = 378,303.90 × 185,356.95
  4. Step 4: Simplify right side
    252,443.17x = 70,121,257,077.11
  5. Step 5: Solve for x
    x = 70,121,257,077.11/252,443.17
  6. Step 6: Final answer
    x = 277,770.47

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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.