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Finding the Fourth Proportional to 151,492.54, 209,050.30 and 83,506

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Solution

The fourth proportional to 151,492.54, 209,050.30 and 83,506 is: 115,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,492.54 : 209,050.30 = 83,506 : x
  2. Step 2: Convert to fraction form
    151,492.54/209,050.30 = 83,506/x
  3. Step 3: Cross multiply
    151,492.54x = 209,050.30 × 83,506
  4. Step 4: Simplify right side
    151,492.54x = 17,456,954,351.80
  5. Step 5: Solve for x
    x = 17,456,954,351.80/151,492.54
  6. Step 6: Final answer
    x = 115,233.10

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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.