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Finding the Fourth Proportional to 282,532.84, 389,828.10 and 160,026.28

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Solution

The fourth proportional to 282,532.84, 389,828.10 and 160,026.28 is: 220,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,532.84 : 389,828.10 = 160,026.28 : x
  2. Step 2: Convert to fraction form
    282,532.84/389,828.10 = 160,026.28/x
  3. Step 3: Cross multiply
    282,532.84x = 389,828.10 × 160,026.28
  4. Step 4: Simplify right side
    282,532.84x = 62,382,740,682.47
  5. Step 5: Solve for x
    x = 62,382,740,682.47/282,532.84
  6. Step 6: Final answer
    x = 220,798.19

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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.