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Finding the Fourth Proportional to 267,915, 369,722.70 and 148,683

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Solution

The fourth proportional to 267,915, 369,722.70 and 148,683 is: 205,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,915 : 369,722.70 = 148,683 : x
  2. Step 2: Convert to fraction form
    267,915/369,722.70 = 148,683/x
  3. Step 3: Cross multiply
    267,915x = 369,722.70 × 148,683
  4. Step 4: Simplify right side
    267,915x = 54,971,480,204.10
  5. Step 5: Solve for x
    x = 54,971,480,204.10/267,915
  6. Step 6: Final answer
    x = 205,182.54

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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.