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Finding the Fourth Proportional to 153,653.52, 230,695.38 and 78,826.44

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Solution

The fourth proportional to 153,653.52, 230,695.38 and 78,826.44 is: 118,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,653.52 : 230,695.38 = 78,826.44 : x
  2. Step 2: Convert to fraction form
    153,653.52/230,695.38 = 78,826.44/x
  3. Step 3: Cross multiply
    153,653.52x = 230,695.38 × 78,826.44
  4. Step 4: Simplify right side
    153,653.52x = 18,184,895,529.85
  5. Step 5: Solve for x
    x = 18,184,895,529.85/153,653.52
  6. Step 6: Final answer
    x = 118,350.01

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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.