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Finding the Fourth Proportional to 153,408.60, 230,018.94 and 59,805

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Solution

The fourth proportional to 153,408.60, 230,018.94 and 59,805 is: 89,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408.60 : 230,018.94 = 59,805 : x
  2. Step 2: Convert to fraction form
    153,408.60/230,018.94 = 59,805/x
  3. Step 3: Cross multiply
    153,408.60x = 230,018.94 × 59,805
  4. Step 4: Simplify right side
    153,408.60x = 13,756,282,706.70
  5. Step 5: Solve for x
    x = 13,756,282,706.70/153,408.60
  6. Step 6: Final answer
    x = 89,670.87

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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.