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Finding the Fourth Proportional to 189,014.64, 283,423.50 and 89,148.01

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Solution

The fourth proportional to 189,014.64, 283,423.50 and 89,148.01 is: 133,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,014.64 : 283,423.50 = 89,148.01 : x
  2. Step 2: Convert to fraction form
    189,014.64/283,423.50 = 89,148.01/x
  3. Step 3: Cross multiply
    189,014.64x = 283,423.50 × 89,148.01
  4. Step 4: Simplify right side
    189,014.64x = 25,266,640,303.68
  5. Step 5: Solve for x
    x = 25,266,640,303.68/189,014.64
  6. Step 6: Final answer
    x = 133,675.57

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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.