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Finding the Fourth Proportional to 153,236.99, 230,068.71 and 78,408.78

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Solution

The fourth proportional to 153,236.99, 230,068.71 and 78,408.78 is: 117,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,236.99 : 230,068.71 = 78,408.78 : x
  2. Step 2: Convert to fraction form
    153,236.99/230,068.71 = 78,408.78/x
  3. Step 3: Cross multiply
    153,236.99x = 230,068.71 × 78,408.78
  4. Step 4: Simplify right side
    153,236.99x = 18,039,406,867.27
  5. Step 5: Solve for x
    x = 18,039,406,867.27/153,236.99
  6. Step 6: Final answer
    x = 117,722.27

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1.5x scale

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.