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Finding the Fourth Proportional to 98,848.82, 148,210.93 and 83,861.17

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Solution

The fourth proportional to 98,848.82, 148,210.93 and 83,861.17 is: 125,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,848.82 : 148,210.93 = 83,861.17 : x
  2. Step 2: Convert to fraction form
    98,848.82/148,210.93 = 83,861.17/x
  3. Step 3: Cross multiply
    98,848.82x = 148,210.93 × 83,861.17
  4. Step 4: Simplify right side
    98,848.82x = 12,429,141,996.59
  5. Step 5: Solve for x
    x = 12,429,141,996.59/98,848.82
  6. Step 6: Final answer
    x = 125,738.90

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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.