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Finding the Fourth Proportional to 97,819.83, 146,630.48 and 55,612.71

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Solution

The fourth proportional to 97,819.83, 146,630.48 and 55,612.71 is: 83,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,819.83 : 146,630.48 = 55,612.71 : x
  2. Step 2: Convert to fraction form
    97,819.83/146,630.48 = 55,612.71/x
  3. Step 3: Cross multiply
    97,819.83x = 146,630.48 × 55,612.71
  4. Step 4: Simplify right side
    97,819.83x = 8,154,518,083.34
  5. Step 5: Solve for x
    x = 8,154,518,083.34/97,819.83
  6. Step 6: Final answer
    x = 83,362.63

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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.