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Finding the Fourth Proportional to 228,144.12, 314,690.58 and 146,342.92

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Solution

The fourth proportional to 228,144.12, 314,690.58 and 146,342.92 is: 201,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,144.12 : 314,690.58 = 146,342.92 : x
  2. Step 2: Convert to fraction form
    228,144.12/314,690.58 = 146,342.92/x
  3. Step 3: Cross multiply
    228,144.12x = 314,690.58 × 146,342.92
  4. Step 4: Simplify right side
    228,144.12x = 46,052,738,373.69
  5. Step 5: Solve for x
    x = 46,052,738,373.69/228,144.12
  6. Step 6: Final answer
    x = 201,858.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.