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Finding the Fourth Proportional to 151,678.70, 209,315.22 and 83,696.30

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Solution

The fourth proportional to 151,678.70, 209,315.22 and 83,696.30 is: 115,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,678.70 : 209,315.22 = 83,696.30 : x
  2. Step 2: Convert to fraction form
    151,678.70/209,315.22 = 83,696.30/x
  3. Step 3: Cross multiply
    151,678.70x = 209,315.22 × 83,696.30
  4. Step 4: Simplify right side
    151,678.70x = 17,518,909,447.69
  5. Step 5: Solve for x
    x = 17,518,909,447.69/151,678.70
  6. Step 6: Final answer
    x = 115,500.13

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