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Finding the Fourth Proportional to 228,098.92, 314,767.14 and 126,117.88

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Solution

The fourth proportional to 228,098.92, 314,767.14 and 126,117.88 is: 174,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098.92 : 314,767.14 = 126,117.88 : x
  2. Step 2: Convert to fraction form
    228,098.92/314,767.14 = 126,117.88/x
  3. Step 3: Cross multiply
    228,098.92x = 314,767.14 × 126,117.88
  4. Step 4: Simplify right side
    228,098.92x = 39,697,764,390.46
  5. Step 5: Solve for x
    x = 39,697,764,390.46/228,098.92
  6. Step 6: Final answer
    x = 174,037.49

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1.5x scale

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.