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Finding the Fourth Proportional to 282,663, 390,051.90 and 161,776.62

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Solution

The fourth proportional to 282,663, 390,051.90 and 161,776.62 is: 223,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,663 : 390,051.90 = 161,776.62 : x
  2. Step 2: Convert to fraction form
    282,663/390,051.90 = 161,776.62/x
  3. Step 3: Cross multiply
    282,663x = 390,051.90 × 161,776.62
  4. Step 4: Simplify right side
    282,663x = 63,101,278,006.58
  5. Step 5: Solve for x
    x = 63,101,278,006.58/282,663
  6. Step 6: Final answer
    x = 223,238.55

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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.