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Finding the Fourth Proportional to 227,427.84, 313,464.96 and 159,465.60

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Solution

The fourth proportional to 227,427.84, 313,464.96 and 159,465.60 is: 219,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,427.84 : 313,464.96 = 159,465.60 : x
  2. Step 2: Convert to fraction form
    227,427.84/313,464.96 = 159,465.60/x
  3. Step 3: Cross multiply
    227,427.84x = 313,464.96 × 159,465.60
  4. Step 4: Simplify right side
    227,427.84x = 49,986,877,925.38
  5. Step 5: Solve for x
    x = 49,986,877,925.38/227,427.84
  6. Step 6: Final answer
    x = 219,792.26

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Why These Related Problems?

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