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Finding the Fourth Proportional to 113,586.30, 156,788.46 and 77,894.46

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Solution

The fourth proportional to 113,586.30, 156,788.46 and 77,894.46 is: 107,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,586.30 : 156,788.46 = 77,894.46 : x
  2. Step 2: Convert to fraction form
    113,586.30/156,788.46 = 77,894.46/x
  3. Step 3: Cross multiply
    113,586.30x = 156,788.46 × 77,894.46
  4. Step 4: Simplify right side
    113,586.30x = 12,212,952,425.93
  5. Step 5: Solve for x
    x = 12,212,952,425.93/113,586.30
  6. Step 6: Final answer
    x = 107,521.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.