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Finding the Fourth Proportional to 106,957.04, 160,356.04 and 64,826.78

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Solution

The fourth proportional to 106,957.04, 160,356.04 and 64,826.78 is: 97,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957.04 : 160,356.04 = 64,826.78 : x
  2. Step 2: Convert to fraction form
    106,957.04/160,356.04 = 64,826.78/x
  3. Step 3: Cross multiply
    106,957.04x = 160,356.04 × 64,826.78
  4. Step 4: Simplify right side
    106,957.04x = 10,395,365,726.75
  5. Step 5: Solve for x
    x = 10,395,365,726.75/106,957.04
  6. Step 6: Final answer
    x = 97,191.97

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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.