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Finding the Fourth Proportional to 230,465.25, 317,912.85 and 134,953.29

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Solution

The fourth proportional to 230,465.25, 317,912.85 and 134,953.29 is: 186,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,465.25 : 317,912.85 = 134,953.29 : x
  2. Step 2: Convert to fraction form
    230,465.25/317,912.85 = 134,953.29/x
  3. Step 3: Cross multiply
    230,465.25x = 317,912.85 × 134,953.29
  4. Step 4: Simplify right side
    230,465.25x = 42,903,385,040.78
  5. Step 5: Solve for x
    x = 42,903,385,040.78/230,465.25
  6. Step 6: Final answer
    x = 186,159.89

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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.