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Finding the Fourth Proportional to 151,794.50, 209,476.53 and 84,726.50

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Solution

The fourth proportional to 151,794.50, 209,476.53 and 84,726.50 is: 116,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,794.50 : 209,476.53 = 84,726.50 : x
  2. Step 2: Convert to fraction form
    151,794.50/209,476.53 = 84,726.50/x
  3. Step 3: Cross multiply
    151,794.50x = 209,476.53 × 84,726.50
  4. Step 4: Simplify right side
    151,794.50x = 17,748,213,219.05
  5. Step 5: Solve for x
    x = 17,748,213,219.05/151,794.50
  6. Step 6: Final answer
    x = 116,922.64

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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.