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Finding the Fourth Proportional to 267,111, 368,613.26 and 146,259.94

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Solution

The fourth proportional to 267,111, 368,613.26 and 146,259.94 is: 201,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,111 : 368,613.26 = 146,259.94 : x
  2. Step 2: Convert to fraction form
    267,111/368,613.26 = 146,259.94/x
  3. Step 3: Cross multiply
    267,111x = 368,613.26 × 146,259.94
  4. Step 4: Simplify right side
    267,111x = 53,913,353,290.80
  5. Step 5: Solve for x
    x = 53,913,353,290.80/267,111
  6. Step 6: Final answer
    x = 201,838.76

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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.