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Finding the Fourth Proportional to 196,056, 293,984.64 and 83,718.72

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Solution

The fourth proportional to 196,056, 293,984.64 and 83,718.72 is: 125,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,056 : 293,984.64 = 83,718.72 : x
  2. Step 2: Convert to fraction form
    196,056/293,984.64 = 83,718.72/x
  3. Step 3: Cross multiply
    196,056x = 293,984.64 × 83,718.72
  4. Step 4: Simplify right side
    196,056x = 24,612,017,760.46
  5. Step 5: Solve for x
    x = 24,612,017,760.46/196,056
  6. Step 6: Final answer
    x = 125,535.65

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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.