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Finding the Fourth Proportional to 191,993.31, 287,970.51 and 51,766.11

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Solution

The fourth proportional to 191,993.31, 287,970.51 and 51,766.11 is: 77,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,993.31 : 287,970.51 = 51,766.11 : x
  2. Step 2: Convert to fraction form
    191,993.31/287,970.51 = 51,766.11/x
  3. Step 3: Cross multiply
    191,993.31x = 287,970.51 × 51,766.11
  4. Step 4: Simplify right side
    191,993.31x = 14,907,113,097.42
  5. Step 5: Solve for x
    x = 14,907,113,097.42/191,993.31
  6. Step 6: Final answer
    x = 77,643.92

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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.