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Finding the Fourth Proportional to 122,010.70, 182,929.65 and 47,101.90

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Solution

The fourth proportional to 122,010.70, 182,929.65 and 47,101.90 is: 70,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,010.70 : 182,929.65 = 47,101.90 : x
  2. Step 2: Convert to fraction form
    122,010.70/182,929.65 = 47,101.90/x
  3. Step 3: Cross multiply
    122,010.70x = 182,929.65 × 47,101.90
  4. Step 4: Simplify right side
    122,010.70x = 8,616,334,081.34
  5. Step 5: Solve for x
    x = 8,616,334,081.34/122,010.70
  6. Step 6: Final answer
    x = 70,619.50

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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.