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Finding the Fourth Proportional to 154,933, 232,497.80 and 66,187.14

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Solution

The fourth proportional to 154,933, 232,497.80 and 66,187.14 is: 99,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,933 : 232,497.80 = 66,187.14 : x
  2. Step 2: Convert to fraction form
    154,933/232,497.80 = 66,187.14/x
  3. Step 3: Cross multiply
    154,933x = 232,497.80 × 66,187.14
  4. Step 4: Simplify right side
    154,933x = 15,388,364,438.29
  5. Step 5: Solve for x
    x = 15,388,364,438.29/154,933
  6. Step 6: Final answer
    x = 99,322.70

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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.