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Finding the Fourth Proportional to 189,165.40, 283,748.10 and 158,752.60

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Solution

The fourth proportional to 189,165.40, 283,748.10 and 158,752.60 is: 238,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,165.40 : 283,748.10 = 158,752.60 : x
  2. Step 2: Convert to fraction form
    189,165.40/283,748.10 = 158,752.60/x
  3. Step 3: Cross multiply
    189,165.40x = 283,748.10 × 158,752.60
  4. Step 4: Simplify right side
    189,165.40x = 45,045,748,620.06
  5. Step 5: Solve for x
    x = 45,045,748,620.06/189,165.40
  6. Step 6: Final answer
    x = 238,128.90

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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.