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Finding the Fourth Proportional to 282,705.92, 423,782.40 and 116,613.12

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Solution

The fourth proportional to 282,705.92, 423,782.40 and 116,613.12 is: 174,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,705.92 : 423,782.40 = 116,613.12 : x
  2. Step 2: Convert to fraction form
    282,705.92/423,782.40 = 116,613.12/x
  3. Step 3: Cross multiply
    282,705.92x = 423,782.40 × 116,613.12
  4. Step 4: Simplify right side
    282,705.92x = 49,418,587,865.09
  5. Step 5: Solve for x
    x = 49,418,587,865.09/282,705.92
  6. Step 6: Final answer
    x = 174,805.64

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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.