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Finding the Fourth Proportional to 109,297.31, 150,827.34 and 61,549.63

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Solution

The fourth proportional to 109,297.31, 150,827.34 and 61,549.63 is: 84,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,297.31 : 150,827.34 = 61,549.63 : x
  2. Step 2: Convert to fraction form
    109,297.31/150,827.34 = 61,549.63/x
  3. Step 3: Cross multiply
    109,297.31x = 150,827.34 × 61,549.63
  4. Step 4: Simplify right side
    109,297.31x = 9,283,366,970.88
  5. Step 5: Solve for x
    x = 9,283,366,970.88/109,297.31
  6. Step 6: Final answer
    x = 84,936.83

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1.5x scale

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.