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Finding the Fourth Proportional to 120,356.93, 180,248.84 and 69,649.06

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Solution

The fourth proportional to 120,356.93, 180,248.84 and 69,649.06 is: 104,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,356.93 : 180,248.84 = 69,649.06 : x
  2. Step 2: Convert to fraction form
    120,356.93/180,248.84 = 69,649.06/x
  3. Step 3: Cross multiply
    120,356.93x = 180,248.84 × 69,649.06
  4. Step 4: Simplify right side
    120,356.93x = 12,554,161,473.22
  5. Step 5: Solve for x
    x = 12,554,161,473.22/120,356.93
  6. Step 6: Final answer
    x = 104,307.76

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