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Finding the Fourth Proportional to 182,767.16, 274,154.49 and 56,407.49

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Solution

The fourth proportional to 182,767.16, 274,154.49 and 56,407.49 is: 84,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,767.16 : 274,154.49 = 56,407.49 : x
  2. Step 2: Convert to fraction form
    182,767.16/274,154.49 = 56,407.49/x
  3. Step 3: Cross multiply
    182,767.16x = 274,154.49 × 56,407.49
  4. Step 4: Simplify right side
    182,767.16x = 15,464,365,282.36
  5. Step 5: Solve for x
    x = 15,464,365,282.36/182,767.16
  6. Step 6: Final answer
    x = 84,612.39

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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.