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Finding the Fourth Proportional to 129,433.38, 178,673.16 and 87,016.50

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Solution

The fourth proportional to 129,433.38, 178,673.16 and 87,016.50 is: 120,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,433.38 : 178,673.16 = 87,016.50 : x
  2. Step 2: Convert to fraction form
    129,433.38/178,673.16 = 87,016.50/x
  3. Step 3: Cross multiply
    129,433.38x = 178,673.16 × 87,016.50
  4. Step 4: Simplify right side
    129,433.38x = 15,547,513,027.14
  5. Step 5: Solve for x
    x = 15,547,513,027.14/129,433.38
  6. Step 6: Final answer
    x = 120,119.81

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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.