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Finding the Fourth Proportional to 98,098.08, 135,376.32 and 53,386.08

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Solution

The fourth proportional to 98,098.08, 135,376.32 and 53,386.08 is: 73,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,098.08 : 135,376.32 = 53,386.08 : x
  2. Step 2: Convert to fraction form
    98,098.08/135,376.32 = 53,386.08/x
  3. Step 3: Cross multiply
    98,098.08x = 135,376.32 × 53,386.08
  4. Step 4: Simplify right side
    98,098.08x = 7,227,211,049.63
  5. Step 5: Solve for x
    x = 7,227,211,049.63/98,098.08
  6. Step 6: Final answer
    x = 73,673.32

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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.