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Finding the Fourth Proportional to 230,043.84, 317,452.70 and 129,422.40

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Solution

The fourth proportional to 230,043.84, 317,452.70 and 129,422.40 is: 178,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,043.84 : 317,452.70 = 129,422.40 : x
  2. Step 2: Convert to fraction form
    230,043.84/317,452.70 = 129,422.40/x
  3. Step 3: Cross multiply
    230,043.84x = 317,452.70 × 129,422.40
  4. Step 4: Simplify right side
    230,043.84x = 41,085,490,320.48
  5. Step 5: Solve for x
    x = 41,085,490,320.48/230,043.84
  6. Step 6: Final answer
    x = 178,598.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.