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Finding the Fourth Proportional to 98,020.34, 135,267.06 and 53,308.34

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Solution

The fourth proportional to 98,020.34, 135,267.06 and 53,308.34 is: 73,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,020.34 : 135,267.06 = 53,308.34 : x
  2. Step 2: Convert to fraction form
    98,020.34/135,267.06 = 53,308.34/x
  3. Step 3: Cross multiply
    98,020.34x = 135,267.06 × 53,308.34
  4. Step 4: Simplify right side
    98,020.34x = 7,210,862,425.28
  5. Step 5: Solve for x
    x = 7,210,862,425.28/98,020.34
  6. Step 6: Final answer
    x = 73,564.96

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