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Finding the Fourth Proportional to 154,178.36, 231,235.72 and 59,376

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Solution

The fourth proportional to 154,178.36, 231,235.72 and 59,376 is: 89,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,178.36 : 231,235.72 = 59,376 : x
  2. Step 2: Convert to fraction form
    154,178.36/231,235.72 = 59,376/x
  3. Step 3: Cross multiply
    154,178.36x = 231,235.72 × 59,376
  4. Step 4: Simplify right side
    154,178.36x = 13,729,852,110.72
  5. Step 5: Solve for x
    x = 13,729,852,110.72/154,178.36
  6. Step 6: Final answer
    x = 89,051.75

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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.