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Finding the Fourth Proportional to 189,232.66, 283,870.95 and 62,884.18

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Solution

The fourth proportional to 189,232.66, 283,870.95 and 62,884.18 is: 94,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,232.66 : 283,870.95 = 62,884.18 : x
  2. Step 2: Convert to fraction form
    189,232.66/283,870.95 = 62,884.18/x
  3. Step 3: Cross multiply
    189,232.66x = 283,870.95 × 62,884.18
  4. Step 4: Simplify right side
    189,232.66x = 17,850,991,916.57
  5. Step 5: Solve for x
    x = 17,850,991,916.57/189,232.66
  6. Step 6: Final answer
    x = 94,333.57

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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.