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Finding the Fourth Proportional to 211,775.41, 317,569.86 and 99,487.54

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Solution

The fourth proportional to 211,775.41, 317,569.86 and 99,487.54 is: 149,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,775.41 : 317,569.86 = 99,487.54 : x
  2. Step 2: Convert to fraction form
    211,775.41/317,569.86 = 99,487.54/x
  3. Step 3: Cross multiply
    211,775.41x = 317,569.86 × 99,487.54
  4. Step 4: Simplify right side
    211,775.41x = 31,594,244,149.54
  5. Step 5: Solve for x
    x = 31,594,244,149.54/211,775.41
  6. Step 6: Final answer
    x = 149,187.50

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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.