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Finding the Fourth Proportional to 149,334.76, 206,088.42 and 84,802.69

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Solution

The fourth proportional to 149,334.76, 206,088.42 and 84,802.69 is: 117,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,334.76 : 206,088.42 = 84,802.69 : x
  2. Step 2: Convert to fraction form
    149,334.76/206,088.42 = 84,802.69/x
  3. Step 3: Cross multiply
    149,334.76x = 206,088.42 × 84,802.69
  4. Step 4: Simplify right side
    149,334.76x = 17,476,852,393.85
  5. Step 5: Solve for x
    x = 17,476,852,393.85/149,334.76
  6. Step 6: Final answer
    x = 117,031.38

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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.