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Finding the Fourth Proportional to 191,895.31, 287,840.94 and 65,534.11

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Solution

The fourth proportional to 191,895.31, 287,840.94 and 65,534.11 is: 98,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,895.31 : 287,840.94 = 65,534.11 : x
  2. Step 2: Convert to fraction form
    191,895.31/287,840.94 = 65,534.11/x
  3. Step 3: Cross multiply
    191,895.31x = 287,840.94 × 65,534.11
  4. Step 4: Simplify right side
    191,895.31x = 18,863,399,824.46
  5. Step 5: Solve for x
    x = 18,863,399,824.46/191,895.31
  6. Step 6: Final answer
    x = 98,300.47

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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.