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Finding the Fourth Proportional to 211,376.80, 317,106.56 and 78,258.24

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Solution

The fourth proportional to 211,376.80, 317,106.56 and 78,258.24 is: 117,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,376.80 : 317,106.56 = 78,258.24 : x
  2. Step 2: Convert to fraction form
    211,376.80/317,106.56 = 78,258.24/x
  3. Step 3: Cross multiply
    211,376.80x = 317,106.56 × 78,258.24
  4. Step 4: Simplify right side
    211,376.80x = 24,816,201,278.05
  5. Step 5: Solve for x
    x = 24,816,201,278.05/211,376.80
  6. Step 6: Final answer
    x = 117,402.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.