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Finding the Fourth Proportional to 120,507.93, 166,297.44 and 66,058.98

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Solution

The fourth proportional to 120,507.93, 166,297.44 and 66,058.98 is: 91,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,507.93 : 166,297.44 = 66,058.98 : x
  2. Step 2: Convert to fraction form
    120,507.93/166,297.44 = 66,058.98/x
  3. Step 3: Cross multiply
    120,507.93x = 166,297.44 × 66,058.98
  4. Step 4: Simplify right side
    120,507.93x = 10,985,439,263.01
  5. Step 5: Solve for x
    x = 10,985,439,263.01/120,507.93
  6. Step 6: Final answer
    x = 91,159.47

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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.