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Finding the Fourth Proportional to 97,384.87, 134,447.02 and 74,232.93

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Solution

The fourth proportional to 97,384.87, 134,447.02 and 74,232.93 is: 102,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,384.87 : 134,447.02 = 74,232.93 : x
  2. Step 2: Convert to fraction form
    97,384.87/134,447.02 = 74,232.93/x
  3. Step 3: Cross multiply
    97,384.87x = 134,447.02 × 74,232.93
  4. Step 4: Simplify right side
    97,384.87x = 9,980,396,542.96
  5. Step 5: Solve for x
    x = 9,980,396,542.96/97,384.87
  6. Step 6: Final answer
    x = 102,484.06

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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.