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Finding the Fourth Proportional to 102,424.88, 153,684.84 and 43,274.36

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Solution

The fourth proportional to 102,424.88, 153,684.84 and 43,274.36 is: 64,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,424.88 : 153,684.84 = 43,274.36 : x
  2. Step 2: Convert to fraction form
    102,424.88/153,684.84 = 43,274.36/x
  3. Step 3: Cross multiply
    102,424.88x = 153,684.84 × 43,274.36
  4. Step 4: Simplify right side
    102,424.88x = 6,650,613,092.70
  5. Step 5: Solve for x
    x = 6,650,613,092.70/102,424.88
  6. Step 6: Final answer
    x = 64,931.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.