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Finding the Fourth Proportional to 97,098.51, 134,071.96 and 75,938.07

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Solution

The fourth proportional to 97,098.51, 134,071.96 and 75,938.07 is: 104,853.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098.51 : 134,071.96 = 75,938.07 : x
  2. Step 2: Convert to fraction form
    97,098.51/134,071.96 = 75,938.07/x
  3. Step 3: Cross multiply
    97,098.51x = 134,071.96 × 75,938.07
  4. Step 4: Simplify right side
    97,098.51x = 10,181,166,338.83
  5. Step 5: Solve for x
    x = 10,181,166,338.83/97,098.51
  6. Step 6: Final answer
    x = 104,853.99

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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.