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Finding the Fourth Proportional to 228,054.56, 314,827.48 and 143,218.40

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Solution

The fourth proportional to 228,054.56, 314,827.48 and 143,218.40 is: 197,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,054.56 : 314,827.48 = 143,218.40 : x
  2. Step 2: Convert to fraction form
    228,054.56/314,827.48 = 143,218.40/x
  3. Step 3: Cross multiply
    228,054.56x = 314,827.48 × 143,218.40
  4. Step 4: Simplify right side
    228,054.56x = 45,089,087,961.63
  5. Step 5: Solve for x
    x = 45,089,087,961.63/228,054.56
  6. Step 6: Final answer
    x = 197,711.85

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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.