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Finding the Fourth Proportional to 267,206.07, 368,748.54 and 146,345.16

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Solution

The fourth proportional to 267,206.07, 368,748.54 and 146,345.16 is: 201,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,206.07 : 368,748.54 = 146,345.16 : x
  2. Step 2: Convert to fraction form
    267,206.07/368,748.54 = 146,345.16/x
  3. Step 3: Cross multiply
    267,206.07x = 368,748.54 × 146,345.16
  4. Step 4: Simplify right side
    267,206.07x = 53,964,564,086.07
  5. Step 5: Solve for x
    x = 53,964,564,086.07/267,206.07
  6. Step 6: Final answer
    x = 201,958.60

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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.