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Finding the Fourth Proportional to 151,726.16, 209,381.97 and 84,658.16

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Solution

The fourth proportional to 151,726.16, 209,381.97 and 84,658.16 is: 116,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,726.16 : 209,381.97 = 84,658.16 : x
  2. Step 2: Convert to fraction form
    151,726.16/209,381.97 = 84,658.16/x
  3. Step 3: Cross multiply
    151,726.16x = 209,381.97 × 84,658.16
  4. Step 4: Simplify right side
    151,726.16x = 17,725,892,317.38
  5. Step 5: Solve for x
    x = 17,725,892,317.38/151,726.16
  6. Step 6: Final answer
    x = 116,828.19

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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.