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Finding the Fourth Proportional to 153,301.73, 229,983.35 and 53,435.11

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Solution

The fourth proportional to 153,301.73, 229,983.35 and 53,435.11 is: 80,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,301.73 : 229,983.35 = 53,435.11 : x
  2. Step 2: Convert to fraction form
    153,301.73/229,983.35 = 53,435.11/x
  3. Step 3: Cross multiply
    153,301.73x = 229,983.35 × 53,435.11
  4. Step 4: Simplify right side
    153,301.73x = 12,289,185,495.08
  5. Step 5: Solve for x
    x = 12,289,185,495.08/153,301.73
  6. Step 6: Final answer
    x = 80,163.38

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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.