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Finding the Fourth Proportional to 191,455.82, 287,361.04 and 96,752.64

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Solution

The fourth proportional to 191,455.82, 287,361.04 and 96,752.64 is: 145,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,455.82 : 287,361.04 = 96,752.64 : x
  2. Step 2: Convert to fraction form
    191,455.82/287,361.04 = 96,752.64/x
  3. Step 3: Cross multiply
    191,455.82x = 287,361.04 × 96,752.64
  4. Step 4: Simplify right side
    191,455.82x = 27,802,938,769.38
  5. Step 5: Solve for x
    x = 27,802,938,769.38/191,455.82
  6. Step 6: Final answer
    x = 145,218.57

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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.