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Finding the Fourth Proportional to 98,333.22, 135,699.54 and 55,899.92

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Solution

The fourth proportional to 98,333.22, 135,699.54 and 55,899.92 is: 77,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,333.22 : 135,699.54 = 55,899.92 : x
  2. Step 2: Convert to fraction form
    98,333.22/135,699.54 = 55,899.92/x
  3. Step 3: Cross multiply
    98,333.22x = 135,699.54 × 55,899.92
  4. Step 4: Simplify right side
    98,333.22x = 7,585,593,430.04
  5. Step 5: Solve for x
    x = 7,585,593,430.04/98,333.22
  6. Step 6: Final answer
    x = 77,141.72

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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.