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Finding the Fourth Proportional to 120,437.84, 179,924.16 and 77,971.96

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Solution

The fourth proportional to 120,437.84, 179,924.16 and 77,971.96 is: 116,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,437.84 : 179,924.16 = 77,971.96 : x
  2. Step 2: Convert to fraction form
    120,437.84/179,924.16 = 77,971.96/x
  3. Step 3: Cross multiply
    120,437.84x = 179,924.16 × 77,971.96
  4. Step 4: Simplify right side
    120,437.84x = 14,029,039,406.55
  5. Step 5: Solve for x
    x = 14,029,039,406.55/120,437.84
  6. Step 6: Final answer
    x = 116,483.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.