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Finding the Fourth Proportional to 106,776.91, 147,348.16 and 61,461.87

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Solution

The fourth proportional to 106,776.91, 147,348.16 and 61,461.87 is: 84,815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776.91 : 147,348.16 = 61,461.87 : x
  2. Step 2: Convert to fraction form
    106,776.91/147,348.16 = 61,461.87/x
  3. Step 3: Cross multiply
    106,776.91x = 147,348.16 × 61,461.87
  4. Step 4: Simplify right side
    106,776.91x = 9,056,293,454.66
  5. Step 5: Solve for x
    x = 9,056,293,454.66/106,776.91
  6. Step 6: Final answer
    x = 84,815.09

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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.