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Finding the Fourth Proportional to 98,802.60, 148,103.10 and 48,805.80

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Solution

The fourth proportional to 98,802.60, 148,103.10 and 48,805.80 is: 73,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,802.60 : 148,103.10 = 48,805.80 : x
  2. Step 2: Convert to fraction form
    98,802.60/148,103.10 = 48,805.80/x
  3. Step 3: Cross multiply
    98,802.60x = 148,103.10 × 48,805.80
  4. Step 4: Simplify right side
    98,802.60x = 7,228,290,277.98
  5. Step 5: Solve for x
    x = 7,228,290,277.98/98,802.60
  6. Step 6: Final answer
    x = 73,158.91

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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.