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Finding the Fourth Proportional to 120,598.04, 166,417.02 and 66,878

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Solution

The fourth proportional to 120,598.04, 166,417.02 and 66,878 is: 92,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,598.04 : 166,417.02 = 66,878 : x
  2. Step 2: Convert to fraction form
    120,598.04/166,417.02 = 66,878/x
  3. Step 3: Cross multiply
    120,598.04x = 166,417.02 × 66,878
  4. Step 4: Simplify right side
    120,598.04x = 11,129,637,463.56
  5. Step 5: Solve for x
    x = 11,129,637,463.56/120,598.04
  6. Step 6: Final answer
    x = 92,287.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.