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Finding the Fourth Proportional to 282,547.92, 389,743.16 and 167,748.68

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Solution

The fourth proportional to 282,547.92, 389,743.16 and 167,748.68 is: 231,390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,547.92 : 389,743.16 = 167,748.68 : x
  2. Step 2: Convert to fraction form
    282,547.92/389,743.16 = 167,748.68/x
  3. Step 3: Cross multiply
    282,547.92x = 389,743.16 × 167,748.68
  4. Step 4: Simplify right side
    282,547.92x = 65,378,900,629.03
  5. Step 5: Solve for x
    x = 65,378,900,629.03/282,547.92
  6. Step 6: Final answer
    x = 231,390.49

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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.