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Finding the Fourth Proportional to 153,803.52, 230,682.24 and 127,676.16

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Solution

The fourth proportional to 153,803.52, 230,682.24 and 127,676.16 is: 191,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,803.52 : 230,682.24 = 127,676.16 : x
  2. Step 2: Convert to fraction form
    153,803.52/230,682.24 = 127,676.16/x
  3. Step 3: Cross multiply
    153,803.52x = 230,682.24 × 127,676.16
  4. Step 4: Simplify right side
    153,803.52x = 29,452,622,583.40
  5. Step 5: Solve for x
    x = 29,452,622,583.40/153,803.52
  6. Step 6: Final answer
    x = 191,495.11

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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.