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Finding the Fourth Proportional to 228,322.96, 315,212.38 and 137,701.98

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Solution

The fourth proportional to 228,322.96, 315,212.38 and 137,701.98 is: 190,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,322.96 : 315,212.38 = 137,701.98 : x
  2. Step 2: Convert to fraction form
    228,322.96/315,212.38 = 137,701.98/x
  3. Step 3: Cross multiply
    228,322.96x = 315,212.38 × 137,701.98
  4. Step 4: Simplify right side
    228,322.96x = 43,405,368,502.26
  5. Step 5: Solve for x
    x = 43,405,368,502.26/228,322.96
  6. Step 6: Final answer
    x = 190,105.14

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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.