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Finding the Fourth Proportional to 267,959.70, 401,941.71 and 97,302.06

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Solution

The fourth proportional to 267,959.70, 401,941.71 and 97,302.06 is: 145,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,959.70 : 401,941.71 = 97,302.06 : x
  2. Step 2: Convert to fraction form
    267,959.70/401,941.71 = 97,302.06/x
  3. Step 3: Cross multiply
    267,959.70x = 401,941.71 × 97,302.06
  4. Step 4: Simplify right side
    267,959.70x = 39,109,756,382.92
  5. Step 5: Solve for x
    x = 39,109,756,382.92/267,959.70
  6. Step 6: Final answer
    x = 145,953.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.