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Finding the Fourth Proportional to 191,433, 287,180.64 and 65,084.58

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Solution

The fourth proportional to 191,433, 287,180.64 and 65,084.58 is: 97,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,433 : 287,180.64 = 65,084.58 : x
  2. Step 2: Convert to fraction form
    191,433/287,180.64 = 65,084.58/x
  3. Step 3: Cross multiply
    191,433x = 287,180.64 × 65,084.58
  4. Step 4: Simplify right side
    191,433x = 18,691,031,338.53
  5. Step 5: Solve for x
    x = 18,691,031,338.53/191,433
  6. Step 6: Final answer
    x = 97,637.46

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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.