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Finding the Fourth Proportional to 282,558.65, 389,952.63 and 161,737.83

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Solution

The fourth proportional to 282,558.65, 389,952.63 and 161,737.83 is: 223,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,558.65 : 389,952.63 = 161,737.83 : x
  2. Step 2: Convert to fraction form
    282,558.65/389,952.63 = 161,737.83/x
  3. Step 3: Cross multiply
    282,558.65x = 389,952.63 × 161,737.83
  4. Step 4: Simplify right side
    282,558.65x = 63,070,092,178.99
  5. Step 5: Solve for x
    x = 63,070,092,178.99/282,558.65
  6. Step 6: Final answer
    x = 223,210.63

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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.