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Finding the Fourth Proportional to 267,506.16, 401,389.76 and 117,727.56

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Solution

The fourth proportional to 267,506.16, 401,389.76 and 117,727.56 is: 176,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,506.16 : 401,389.76 = 117,727.56 : x
  2. Step 2: Convert to fraction form
    267,506.16/401,389.76 = 117,727.56/x
  3. Step 3: Cross multiply
    267,506.16x = 401,389.76 × 117,727.56
  4. Step 4: Simplify right side
    267,506.16x = 47,254,637,053.79
  5. Step 5: Solve for x
    x = 47,254,637,053.79/267,506.16
  6. Step 6: Final answer
    x = 176,648.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.