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Finding the Fourth Proportional to 98,705.48, 136,089.98 and 82,376.11

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Solution

The fourth proportional to 98,705.48, 136,089.98 and 82,376.11 is: 113,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,705.48 : 136,089.98 = 82,376.11 : x
  2. Step 2: Convert to fraction form
    98,705.48/136,089.98 = 82,376.11/x
  3. Step 3: Cross multiply
    98,705.48x = 136,089.98 × 82,376.11
  4. Step 4: Simplify right side
    98,705.48x = 11,210,563,162.38
  5. Step 5: Solve for x
    x = 11,210,563,162.38/98,705.48
  6. Step 6: Final answer
    x = 113,575.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.