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Finding the Fourth Proportional to 211,777, 317,673.18 and 64,033

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Solution

The fourth proportional to 211,777, 317,673.18 and 64,033 is: 96,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,777 : 317,673.18 = 64,033 : x
  2. Step 2: Convert to fraction form
    211,777/317,673.18 = 64,033/x
  3. Step 3: Cross multiply
    211,777x = 317,673.18 × 64,033
  4. Step 4: Simplify right side
    211,777x = 20,341,566,734.94
  5. Step 5: Solve for x
    x = 20,341,566,734.94/211,777
  6. Step 6: Final answer
    x = 96,051.82

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Why These Related Problems?

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