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Finding the Fourth Proportional to 112,815.38, 155,686.95 and 61,827.69

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Solution

The fourth proportional to 112,815.38, 155,686.95 and 61,827.69 is: 85,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,815.38 : 155,686.95 = 61,827.69 : x
  2. Step 2: Convert to fraction form
    112,815.38/155,686.95 = 61,827.69/x
  3. Step 3: Cross multiply
    112,815.38x = 155,686.95 × 61,827.69
  4. Step 4: Simplify right side
    112,815.38x = 9,625,764,172.51
  5. Step 5: Solve for x
    x = 9,625,764,172.51/112,815.38
  6. Step 6: Final answer
    x = 85,323.16

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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.