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Finding the Fourth Proportional to 148,405.16, 222,633.66 and 65,297

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Solution

The fourth proportional to 148,405.16, 222,633.66 and 65,297 is: 97,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,405.16 : 222,633.66 = 65,297 : x
  2. Step 2: Convert to fraction form
    148,405.16/222,633.66 = 65,297/x
  3. Step 3: Cross multiply
    148,405.16x = 222,633.66 × 65,297
  4. Step 4: Simplify right side
    148,405.16x = 14,537,310,097.02
  5. Step 5: Solve for x
    x = 14,537,310,097.02/148,405.16
  6. Step 6: Final answer
    x = 97,956.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.