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Finding the Fourth Proportional to 164,230.03, 246,381.95 and 59,049

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Solution

The fourth proportional to 164,230.03, 246,381.95 and 59,049 is: 88,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,230.03 : 246,381.95 = 59,049 : x
  2. Step 2: Convert to fraction form
    164,230.03/246,381.95 = 59,049/x
  3. Step 3: Cross multiply
    164,230.03x = 246,381.95 × 59,049
  4. Step 4: Simplify right side
    164,230.03x = 14,548,607,913.17
  5. Step 5: Solve for x
    x = 14,548,607,913.17/164,230.03
  6. Step 6: Final answer
    x = 88,586.77

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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.