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Finding the Fourth Proportional to 227,999.40, 314,595.86 and 143,078.19

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Solution

The fourth proportional to 227,999.40, 314,595.86 and 143,078.19 is: 197,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,999.40 : 314,595.86 = 143,078.19 : x
  2. Step 2: Convert to fraction form
    227,999.40/314,595.86 = 143,078.19/x
  3. Step 3: Cross multiply
    227,999.40x = 314,595.86 × 143,078.19
  4. Step 4: Simplify right side
    227,999.40x = 45,011,806,230.29
  5. Step 5: Solve for x
    x = 45,011,806,230.29/227,999.40
  6. Step 6: Final answer
    x = 197,420.72

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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.