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Finding the Fourth Proportional to 267,214.68, 368,756.42 and 146,355.93

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Solution

The fourth proportional to 267,214.68, 368,756.42 and 146,355.93 is: 201,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,214.68 : 368,756.42 = 146,355.93 : x
  2. Step 2: Convert to fraction form
    267,214.68/368,756.42 = 146,355.93/x
  3. Step 3: Cross multiply
    267,214.68x = 368,756.42 × 146,355.93
  4. Step 4: Simplify right side
    267,214.68x = 53,969,688,060.79
  5. Step 5: Solve for x
    x = 53,969,688,060.79/267,214.68
  6. Step 6: Final answer
    x = 201,971.27

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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.