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Finding the Fourth Proportional to 230,081.02, 317,462.82 and 134,569.06

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Solution

The fourth proportional to 230,081.02, 317,462.82 and 134,569.06 is: 185,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,081.02 : 317,462.82 = 134,569.06 : x
  2. Step 2: Convert to fraction form
    230,081.02/317,462.82 = 134,569.06/x
  3. Step 3: Cross multiply
    230,081.02x = 317,462.82 × 134,569.06
  4. Step 4: Simplify right side
    230,081.02x = 42,720,673,272.35
  5. Step 5: Solve for x
    x = 42,720,673,272.35/230,081.02
  6. Step 6: Final answer
    x = 185,676.65

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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.