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Finding the Fourth Proportional to 129,434.38, 178,674.54 and 87,017.50

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Solution

The fourth proportional to 129,434.38, 178,674.54 and 87,017.50 is: 120,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,434.38 : 178,674.54 = 87,017.50 : x
  2. Step 2: Convert to fraction form
    129,434.38/178,674.54 = 87,017.50/x
  3. Step 3: Cross multiply
    129,434.38x = 178,674.54 × 87,017.50
  4. Step 4: Simplify right side
    129,434.38x = 15,547,811,784.45
  5. Step 5: Solve for x
    x = 15,547,811,784.45/129,434.38
  6. Step 6: Final answer
    x = 120,121.19

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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.