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Finding the Fourth Proportional to 226,392.48, 312,408.72 and 125,784

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Solution

The fourth proportional to 226,392.48, 312,408.72 and 125,784 is: 173,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,392.48 : 312,408.72 = 125,784 : x
  2. Step 2: Convert to fraction form
    226,392.48/312,408.72 = 125,784/x
  3. Step 3: Cross multiply
    226,392.48x = 312,408.72 × 125,784
  4. Step 4: Simplify right side
    226,392.48x = 39,296,018,436.48
  5. Step 5: Solve for x
    x = 39,296,018,436.48/226,392.48
  6. Step 6: Final answer
    x = 173,574.75

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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.