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Finding the Fourth Proportional to 129,264.51, 193,895.29 and 50,434.10

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Solution

The fourth proportional to 129,264.51, 193,895.29 and 50,434.10 is: 75,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,264.51 : 193,895.29 = 50,434.10 : x
  2. Step 2: Convert to fraction form
    129,264.51/193,895.29 = 50,434.10/x
  3. Step 3: Cross multiply
    129,264.51x = 193,895.29 × 50,434.10
  4. Step 4: Simplify right side
    129,264.51x = 9,778,934,445.39
  5. Step 5: Solve for x
    x = 9,778,934,445.39/129,264.51
  6. Step 6: Final answer
    x = 75,650.57

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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.