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Finding the Fourth Proportional to 102,437.28, 152,973 and 97,188.48

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Solution

The fourth proportional to 102,437.28, 152,973 and 97,188.48 is: 145,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,437.28 : 152,973 = 97,188.48 : x
  2. Step 2: Convert to fraction form
    102,437.28/152,973 = 97,188.48/x
  3. Step 3: Cross multiply
    102,437.28x = 152,973 × 97,188.48
  4. Step 4: Simplify right side
    102,437.28x = 14,867,213,351.04
  5. Step 5: Solve for x
    x = 14,867,213,351.04/102,437.28
  6. Step 6: Final answer
    x = 145,134.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.