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Finding the Fourth Proportional to 153,709.44, 230,558.40 and 48,534.72

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Solution

The fourth proportional to 153,709.44, 230,558.40 and 48,534.72 is: 72,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,709.44 : 230,558.40 = 48,534.72 : x
  2. Step 2: Convert to fraction form
    153,709.44/230,558.40 = 48,534.72/x
  3. Step 3: Cross multiply
    153,709.44x = 230,558.40 × 48,534.72
  4. Step 4: Simplify right side
    153,709.44x = 11,190,087,387.65
  5. Step 5: Solve for x
    x = 11,190,087,387.65/153,709.44
  6. Step 6: Final answer
    x = 72,800.26

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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.