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Finding the Fourth Proportional to 229,893.16, 317,205.02 and 134,381.38

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Solution

The fourth proportional to 229,893.16, 317,205.02 and 134,381.38 is: 185,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,893.16 : 317,205.02 = 134,381.38 : x
  2. Step 2: Convert to fraction form
    229,893.16/317,205.02 = 134,381.38/x
  3. Step 3: Cross multiply
    229,893.16x = 317,205.02 × 134,381.38
  4. Step 4: Simplify right side
    229,893.16x = 42,626,448,330.53
  5. Step 5: Solve for x
    x = 42,626,448,330.53/229,893.16
  6. Step 6: Final answer
    x = 185,418.51

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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.