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Finding the Fourth Proportional to 153,564.84, 230,201.66 and 53,660.10

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Solution

The fourth proportional to 153,564.84, 230,201.66 and 53,660.10 is: 80,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,564.84 : 230,201.66 = 53,660.10 : x
  2. Step 2: Convert to fraction form
    153,564.84/230,201.66 = 53,660.10/x
  3. Step 3: Cross multiply
    153,564.84x = 230,201.66 × 53,660.10
  4. Step 4: Simplify right side
    153,564.84x = 12,352,644,095.77
  5. Step 5: Solve for x
    x = 12,352,644,095.77/153,564.84
  6. Step 6: Final answer
    x = 80,439.27

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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.