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Finding the Fourth Proportional to 153,322.12, 229,967 and 41,013.68

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Solution

The fourth proportional to 153,322.12, 229,967 and 41,013.68 is: 61,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,322.12 : 229,967 = 41,013.68 : x
  2. Step 2: Convert to fraction form
    153,322.12/229,967 = 41,013.68/x
  3. Step 3: Cross multiply
    153,322.12x = 229,967 × 41,013.68
  4. Step 4: Simplify right side
    153,322.12x = 9,431,791,798.73
  5. Step 5: Solve for x
    x = 9,431,791,798.73/153,322.12
  6. Step 6: Final answer
    x = 61,516.18

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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.