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Finding the Fourth Proportional to 154,429.30, 231,643.95 and 92,221.30

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Solution

The fourth proportional to 154,429.30, 231,643.95 and 92,221.30 is: 138,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,429.30 : 231,643.95 = 92,221.30 : x
  2. Step 2: Convert to fraction form
    154,429.30/231,643.95 = 92,221.30/x
  3. Step 3: Cross multiply
    154,429.30x = 231,643.95 × 92,221.30
  4. Step 4: Simplify right side
    154,429.30x = 21,362,506,206.14
  5. Step 5: Solve for x
    x = 21,362,506,206.14/154,429.30
  6. Step 6: Final answer
    x = 138,331.95

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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.