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Finding the Fourth Proportional to 193,656.68, 290,499.51 and 53,414

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Solution

The fourth proportional to 193,656.68, 290,499.51 and 53,414 is: 80,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,656.68 : 290,499.51 = 53,414 : x
  2. Step 2: Convert to fraction form
    193,656.68/290,499.51 = 53,414/x
  3. Step 3: Cross multiply
    193,656.68x = 290,499.51 × 53,414
  4. Step 4: Simplify right side
    193,656.68x = 15,516,740,827.14
  5. Step 5: Solve for x
    x = 15,516,740,827.14/193,656.68
  6. Step 6: Final answer
    x = 80,125.00

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Why These Related Problems?

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