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Finding the Fourth Proportional to 148,864, 223,018.68 and 73,898.80

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Solution

The fourth proportional to 148,864, 223,018.68 and 73,898.80 is: 110,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,864 : 223,018.68 = 73,898.80 : x
  2. Step 2: Convert to fraction form
    148,864/223,018.68 = 73,898.80/x
  3. Step 3: Cross multiply
    148,864x = 223,018.68 × 73,898.80
  4. Step 4: Simplify right side
    148,864x = 16,480,812,829.58
  5. Step 5: Solve for x
    x = 16,480,812,829.58/148,864
  6. Step 6: Final answer
    x = 110,710.53

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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.