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Finding the Fourth Proportional to 282,051.04, 423,116.16 and 82,386.04

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Solution

The fourth proportional to 282,051.04, 423,116.16 and 82,386.04 is: 123,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,051.04 : 423,116.16 = 82,386.04 : x
  2. Step 2: Convert to fraction form
    282,051.04/423,116.16 = 82,386.04/x
  3. Step 3: Cross multiply
    282,051.04x = 423,116.16 × 82,386.04
  4. Step 4: Simplify right side
    282,051.04x = 34,858,864,882.41
  5. Step 5: Solve for x
    x = 34,858,864,882.41/282,051.04
  6. Step 6: Final answer
    x = 123,590.63

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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.