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Finding the Fourth Proportional to 185,653.61, 278,491.16 and 52,522.72

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Solution

The fourth proportional to 185,653.61, 278,491.16 and 52,522.72 is: 78,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,653.61 : 278,491.16 = 52,522.72 : x
  2. Step 2: Convert to fraction form
    185,653.61/278,491.16 = 52,522.72/x
  3. Step 3: Cross multiply
    185,653.61x = 278,491.16 × 52,522.72
  4. Step 4: Simplify right side
    185,653.61x = 14,627,112,260.31
  5. Step 5: Solve for x
    x = 14,627,112,260.31/185,653.61
  6. Step 6: Final answer
    x = 78,787.11

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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.