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Finding the Fourth Proportional to 228,084.94, 314,744.52 and 126,104.50

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Solution

The fourth proportional to 228,084.94, 314,744.52 and 126,104.50 is: 174,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,084.94 : 314,744.52 = 126,104.50 : x
  2. Step 2: Convert to fraction form
    228,084.94/314,744.52 = 126,104.50/x
  3. Step 3: Cross multiply
    228,084.94x = 314,744.52 × 126,104.50
  4. Step 4: Simplify right side
    228,084.94x = 39,690,700,322.34
  5. Step 5: Solve for x
    x = 39,690,700,322.34/228,084.94
  6. Step 6: Final answer
    x = 174,017.19

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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.