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Finding the Fourth Proportional to 309,170.64, 463,822.36 and 95,934.16

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Solution

The fourth proportional to 309,170.64, 463,822.36 and 95,934.16 is: 143,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,170.64 : 463,822.36 = 95,934.16 : x
  2. Step 2: Convert to fraction form
    309,170.64/463,822.36 = 95,934.16/x
  3. Step 3: Cross multiply
    309,170.64x = 463,822.36 × 95,934.16
  4. Step 4: Simplify right side
    309,170.64x = 44,496,408,495.82
  5. Step 5: Solve for x
    x = 44,496,408,495.82/309,170.64
  6. Step 6: Final answer
    x = 143,921.84

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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.