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Finding the Fourth Proportional to 151,461.22, 209,015.36 and 83,478.22

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Solution

The fourth proportional to 151,461.22, 209,015.36 and 83,478.22 is: 115,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,461.22 : 209,015.36 = 83,478.22 : x
  2. Step 2: Convert to fraction form
    151,461.22/209,015.36 = 83,478.22/x
  3. Step 3: Cross multiply
    151,461.22x = 209,015.36 × 83,478.22
  4. Step 4: Simplify right side
    151,461.22x = 17,448,230,205.46
  5. Step 5: Solve for x
    x = 17,448,230,205.46/151,461.22
  6. Step 6: Final answer
    x = 115,199.32

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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.