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Finding the Fourth Proportional to 267,278.40, 368,844.24 and 146,424.06

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Solution

The fourth proportional to 267,278.40, 368,844.24 and 146,424.06 is: 202,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,278.40 : 368,844.24 = 146,424.06 : x
  2. Step 2: Convert to fraction form
    267,278.40/368,844.24 = 146,424.06/x
  3. Step 3: Cross multiply
    267,278.40x = 368,844.24 × 146,424.06
  4. Step 4: Simplify right side
    267,278.40x = 54,007,671,128.41
  5. Step 5: Solve for x
    x = 54,007,671,128.41/267,278.40
  6. Step 6: Final answer
    x = 202,065.23

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1.5x scale

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.