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Finding the Fourth Proportional to 196,560.86, 294,977.61 and 89,957.84

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Solution

The fourth proportional to 196,560.86, 294,977.61 and 89,957.84 is: 134,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,560.86 : 294,977.61 = 89,957.84 : x
  2. Step 2: Convert to fraction form
    196,560.86/294,977.61 = 89,957.84/x
  3. Step 3: Cross multiply
    196,560.86x = 294,977.61 × 89,957.84
  4. Step 4: Simplify right side
    196,560.86x = 26,535,547,937.90
  5. Step 5: Solve for x
    x = 26,535,547,937.90/196,560.86
  6. Step 6: Final answer
    x = 134,999.15

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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.