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Finding the Fourth Proportional to 211,357.80, 317,078.12 and 78,239.16

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Solution

The fourth proportional to 211,357.80, 317,078.12 and 78,239.16 is: 117,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,357.80 : 317,078.12 = 78,239.16 : x
  2. Step 2: Convert to fraction form
    211,357.80/317,078.12 = 78,239.16/x
  3. Step 3: Cross multiply
    211,357.80x = 317,078.12 × 78,239.16
  4. Step 4: Simplify right side
    211,357.80x = 24,807,925,763.18
  5. Step 5: Solve for x
    x = 24,807,925,763.18/211,357.80
  6. Step 6: Final answer
    x = 117,374.07

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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.