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Finding the Fourth Proportional to 102,349.32, 153,458.04 and 43,169.16

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Solution

The fourth proportional to 102,349.32, 153,458.04 and 43,169.16 is: 64,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,349.32 : 153,458.04 = 43,169.16 : x
  2. Step 2: Convert to fraction form
    102,349.32/153,458.04 = 43,169.16/x
  3. Step 3: Cross multiply
    102,349.32x = 153,458.04 × 43,169.16
  4. Step 4: Simplify right side
    102,349.32x = 6,624,654,682.05
  5. Step 5: Solve for x
    x = 6,624,654,682.05/102,349.32
  6. Step 6: Final answer
    x = 64,725.93

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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.