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Finding the Fourth Proportional to 226,864.32, 312,875.64 and 146,266.08

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Solution

The fourth proportional to 226,864.32, 312,875.64 and 146,266.08 is: 201,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,864.32 : 312,875.64 = 146,266.08 : x
  2. Step 2: Convert to fraction form
    226,864.32/312,875.64 = 146,266.08/x
  3. Step 3: Cross multiply
    226,864.32x = 312,875.64 × 146,266.08
  4. Step 4: Simplify right side
    226,864.32x = 45,763,093,390.29
  5. Step 5: Solve for x
    x = 45,763,093,390.29/226,864.32
  6. Step 6: Final answer
    x = 201,720.10

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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.