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Finding the Fourth Proportional to 145,959.30, 201,423.51 and 82,296.72

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Solution

The fourth proportional to 145,959.30, 201,423.51 and 82,296.72 is: 113,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,959.30 : 201,423.51 = 82,296.72 : x
  2. Step 2: Convert to fraction form
    145,959.30/201,423.51 = 82,296.72/x
  3. Step 3: Cross multiply
    145,959.30x = 201,423.51 × 82,296.72
  4. Step 4: Simplify right side
    145,959.30x = 16,576,494,203.89
  5. Step 5: Solve for x
    x = 16,576,494,203.89/145,959.30
  6. Step 6: Final answer
    x = 113,569.29

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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.