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Finding the Fourth Proportional to 102,412.62, 153,507.96 and 52,424.16

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Solution

The fourth proportional to 102,412.62, 153,507.96 and 52,424.16 is: 78,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,412.62 : 153,507.96 = 52,424.16 : x
  2. Step 2: Convert to fraction form
    102,412.62/153,507.96 = 52,424.16/x
  3. Step 3: Cross multiply
    102,412.62x = 153,507.96 × 52,424.16
  4. Step 4: Simplify right side
    102,412.62x = 8,047,525,856.31
  5. Step 5: Solve for x
    x = 8,047,525,856.31/102,412.62
  6. Step 6: Final answer
    x = 78,579.44

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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.