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Finding the Fourth Proportional to 191,638.64, 287,457.96 and 73,346.24

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Solution

The fourth proportional to 191,638.64, 287,457.96 and 73,346.24 is: 110,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,638.64 : 287,457.96 = 73,346.24 : x
  2. Step 2: Convert to fraction form
    191,638.64/287,457.96 = 73,346.24/x
  3. Step 3: Cross multiply
    191,638.64x = 287,457.96 × 73,346.24
  4. Step 4: Simplify right side
    191,638.64x = 21,083,960,524.07
  5. Step 5: Solve for x
    x = 21,083,960,524.07/191,638.64
  6. Step 6: Final answer
    x = 110,019.36

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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.