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Finding the Fourth Proportional to 267,107.78, 368,594.61 and 146,225.90

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Solution

The fourth proportional to 267,107.78, 368,594.61 and 146,225.90 is: 201,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,107.78 : 368,594.61 = 146,225.90 : x
  2. Step 2: Convert to fraction form
    267,107.78/368,594.61 = 146,225.90/x
  3. Step 3: Cross multiply
    267,107.78x = 368,594.61 × 146,225.90
  4. Step 4: Simplify right side
    267,107.78x = 53,898,078,582.40
  5. Step 5: Solve for x
    x = 53,898,078,582.40/267,107.78
  6. Step 6: Final answer
    x = 201,784.01

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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.