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Finding the Fourth Proportional to 107,790.80, 148,752.84 and 61,857.92

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Solution

The fourth proportional to 107,790.80, 148,752.84 and 61,857.92 is: 85,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,790.80 : 148,752.84 = 61,857.92 : x
  2. Step 2: Convert to fraction form
    107,790.80/148,752.84 = 61,857.92/x
  3. Step 3: Cross multiply
    107,790.80x = 148,752.84 × 61,857.92
  4. Step 4: Simplify right side
    107,790.80x = 9,201,541,880.34
  5. Step 5: Solve for x
    x = 9,201,541,880.34/107,790.80
  6. Step 6: Final answer
    x = 85,364.82

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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.