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Finding the Fourth Proportional to 267,310, 368,887.80 and 148,078

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Solution

The fourth proportional to 267,310, 368,887.80 and 148,078 is: 204,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,310 : 368,887.80 = 148,078 : x
  2. Step 2: Convert to fraction form
    267,310/368,887.80 = 148,078/x
  3. Step 3: Cross multiply
    267,310x = 368,887.80 × 148,078
  4. Step 4: Simplify right side
    267,310x = 54,624,167,648.40
  5. Step 5: Solve for x
    x = 54,624,167,648.40/267,310
  6. Step 6: Final answer
    x = 204,347.64

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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.