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Finding the Fourth Proportional to 106,776.54, 147,340.35 and 59,022.18

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Solution

The fourth proportional to 106,776.54, 147,340.35 and 59,022.18 is: 81,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776.54 : 147,340.35 = 59,022.18 : x
  2. Step 2: Convert to fraction form
    106,776.54/147,340.35 = 59,022.18/x
  3. Step 3: Cross multiply
    106,776.54x = 147,340.35 × 59,022.18
  4. Step 4: Simplify right side
    106,776.54x = 8,696,348,658.96
  5. Step 5: Solve for x
    x = 8,696,348,658.96/106,776.54
  6. Step 6: Final answer
    x = 81,444.38

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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.