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Finding the Fourth Proportional to 226,284.90, 312,238.47 and 130,773.16

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Solution

The fourth proportional to 226,284.90, 312,238.47 and 130,773.16 is: 180,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,284.90 : 312,238.47 = 130,773.16 : x
  2. Step 2: Convert to fraction form
    226,284.90/312,238.47 = 130,773.16/x
  3. Step 3: Cross multiply
    226,284.90x = 312,238.47 × 130,773.16
  4. Step 4: Simplify right side
    226,284.90x = 40,832,411,395.47
  5. Step 5: Solve for x
    x = 40,832,411,395.47/226,284.90
  6. Step 6: Final answer
    x = 180,446.92

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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.