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Finding the Fourth Proportional to 189,046.80, 283,570.16 and 55,916.68

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Solution

The fourth proportional to 189,046.80, 283,570.16 and 55,916.68 is: 83,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,046.80 : 283,570.16 = 55,916.68 : x
  2. Step 2: Convert to fraction form
    189,046.80/283,570.16 = 55,916.68/x
  3. Step 3: Cross multiply
    189,046.80x = 283,570.16 × 55,916.68
  4. Step 4: Simplify right side
    189,046.80x = 15,856,301,894.27
  5. Step 5: Solve for x
    x = 15,856,301,894.27/189,046.80
  6. Step 6: Final answer
    x = 83,875.01

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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.