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Finding the Fourth Proportional to 191,978.98, 287,967.26 and 65,558.23

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Solution

The fourth proportional to 191,978.98, 287,967.26 and 65,558.23 is: 98,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,978.98 : 287,967.26 = 65,558.23 : x
  2. Step 2: Convert to fraction form
    191,978.98/287,967.26 = 65,558.23/x
  3. Step 3: Cross multiply
    191,978.98x = 287,967.26 × 65,558.23
  4. Step 4: Simplify right side
    191,978.98x = 18,878,623,863.55
  5. Step 5: Solve for x
    x = 18,878,623,863.55/191,978.98
  6. Step 6: Final answer
    x = 98,336.93

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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.