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Finding the Fourth Proportional to 253,006.59, 379,202.94 and 185,823.72

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Solution

The fourth proportional to 253,006.59, 379,202.94 and 185,823.72 is: 278,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,006.59 : 379,202.94 = 185,823.72 : x
  2. Step 2: Convert to fraction form
    253,006.59/379,202.94 = 185,823.72/x
  3. Step 3: Cross multiply
    253,006.59x = 379,202.94 × 185,823.72
  4. Step 4: Simplify right side
    253,006.59x = 70,464,900,945.74
  5. Step 5: Solve for x
    x = 70,464,900,945.74/253,006.59
  6. Step 6: Final answer
    x = 278,510.14

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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.