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Finding the Fourth Proportional to 226,095.84, 311,948.28 and 145,569.96

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Solution

The fourth proportional to 226,095.84, 311,948.28 and 145,569.96 is: 200,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,095.84 : 311,948.28 = 145,569.96 : x
  2. Step 2: Convert to fraction form
    226,095.84/311,948.28 = 145,569.96/x
  3. Step 3: Cross multiply
    226,095.84x = 311,948.28 × 145,569.96
  4. Step 4: Simplify right side
    226,095.84x = 45,410,298,641.67
  5. Step 5: Solve for x
    x = 45,410,298,641.67/226,095.84
  6. Step 6: Final answer
    x = 200,845.35

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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.