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Finding the Fourth Proportional to 191,686.10, 287,544.03 and 65,287.38

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Solution

The fourth proportional to 191,686.10, 287,544.03 and 65,287.38 is: 97,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,686.10 : 287,544.03 = 65,287.38 : x
  2. Step 2: Convert to fraction form
    191,686.10/287,544.03 = 65,287.38/x
  3. Step 3: Cross multiply
    191,686.10x = 287,544.03 × 65,287.38
  4. Step 4: Simplify right side
    191,686.10x = 18,772,996,353.34
  5. Step 5: Solve for x
    x = 18,772,996,353.34/191,686.10
  6. Step 6: Final answer
    x = 97,936.14

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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.