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Finding the Fourth Proportional to 228,203.12, 314,931.36 and 126,228.14

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Solution

The fourth proportional to 228,203.12, 314,931.36 and 126,228.14 is: 174,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,203.12 : 314,931.36 = 126,228.14 : x
  2. Step 2: Convert to fraction form
    228,203.12/314,931.36 = 126,228.14/x
  3. Step 3: Cross multiply
    228,203.12x = 314,931.36 × 126,228.14
  4. Step 4: Simplify right side
    228,203.12x = 39,753,199,800.47
  5. Step 5: Solve for x
    x = 39,753,199,800.47/228,203.12
  6. Step 6: Final answer
    x = 174,200.95

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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.