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Finding the Fourth Proportional to 106,957.73, 160,460.90 and 57,011.51

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Solution

The fourth proportional to 106,957.73, 160,460.90 and 57,011.51 is: 85,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957.73 : 160,460.90 = 57,011.51 : x
  2. Step 2: Convert to fraction form
    106,957.73/160,460.90 = 57,011.51/x
  3. Step 3: Cross multiply
    106,957.73x = 160,460.90 × 57,011.51
  4. Step 4: Simplify right side
    106,957.73x = 9,148,118,534.85
  5. Step 5: Solve for x
    x = 9,148,118,534.85/106,957.73
  6. Step 6: Final answer
    x = 85,530.22

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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.