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Finding the Fourth Proportional to 153,726.50, 212,142.58 and 86,658.50

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Solution

The fourth proportional to 153,726.50, 212,142.58 and 86,658.50 is: 119,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,726.50 : 212,142.58 = 86,658.50 : x
  2. Step 2: Convert to fraction form
    153,726.50/212,142.58 = 86,658.50/x
  3. Step 3: Cross multiply
    153,726.50x = 212,142.58 × 86,658.50
  4. Step 4: Simplify right side
    153,726.50x = 18,383,957,768.93
  5. Step 5: Solve for x
    x = 18,383,957,768.93/153,726.50
  6. Step 6: Final answer
    x = 119,588.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.