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Finding the Fourth Proportional to 189,466.40, 284,053.80 and 106,360.40

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Solution

The fourth proportional to 189,466.40, 284,053.80 and 106,360.40 is: 159,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466.40 : 284,053.80 = 106,360.40 : x
  2. Step 2: Convert to fraction form
    189,466.40/284,053.80 = 106,360.40/x
  3. Step 3: Cross multiply
    189,466.40x = 284,053.80 × 106,360.40
  4. Step 4: Simplify right side
    189,466.40x = 30,212,075,789.52
  5. Step 5: Solve for x
    x = 30,212,075,789.52/189,466.40
  6. Step 6: Final answer
    x = 159,458.75

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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.