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Finding the Fourth Proportional to 191,432.49, 287,161.92 and 65,021.16

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Solution

The fourth proportional to 191,432.49, 287,161.92 and 65,021.16 is: 97,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,432.49 : 287,161.92 = 65,021.16 : x
  2. Step 2: Convert to fraction form
    191,432.49/287,161.92 = 65,021.16/x
  3. Step 3: Cross multiply
    191,432.49x = 287,161.92 × 65,021.16
  4. Step 4: Simplify right side
    191,432.49x = 18,671,601,146.23
  5. Step 5: Solve for x
    x = 18,671,601,146.23/191,432.49
  6. Step 6: Final answer
    x = 97,536.22

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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.