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Finding the Fourth Proportional to 282,001, 389,195.94 and 162,769

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Solution

The fourth proportional to 282,001, 389,195.94 and 162,769 is: 224,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,001 : 389,195.94 = 162,769 : x
  2. Step 2: Convert to fraction form
    282,001/389,195.94 = 162,769/x
  3. Step 3: Cross multiply
    282,001x = 389,195.94 × 162,769
  4. Step 4: Simplify right side
    282,001x = 63,349,033,957.86
  5. Step 5: Solve for x
    x = 63,349,033,957.86/282,001
  6. Step 6: Final answer
    x = 224,641.17

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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.