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Finding the Fourth Proportional to 230,298.08, 317,812 and 133,520.70

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Solution

The fourth proportional to 230,298.08, 317,812 and 133,520.70 is: 184,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,298.08 : 317,812 = 133,520.70 : x
  2. Step 2: Convert to fraction form
    230,298.08/317,812 = 133,520.70/x
  3. Step 3: Cross multiply
    230,298.08x = 317,812 × 133,520.70
  4. Step 4: Simplify right side
    230,298.08x = 42,434,480,708.40
  5. Step 5: Solve for x
    x = 42,434,480,708.40/230,298.08
  6. Step 6: Final answer
    x = 184,258.94

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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.