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Finding the Fourth Proportional to 209,595.40, 314,236.46 and 67,359.50

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Solution

The fourth proportional to 209,595.40, 314,236.46 and 67,359.50 is: 100,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,595.40 : 314,236.46 = 67,359.50 : x
  2. Step 2: Convert to fraction form
    209,595.40/314,236.46 = 67,359.50/x
  3. Step 3: Cross multiply
    209,595.40x = 314,236.46 × 67,359.50
  4. Step 4: Simplify right side
    209,595.40x = 21,166,810,602.97
  5. Step 5: Solve for x
    x = 21,166,810,602.97/209,595.40
  6. Step 6: Final answer
    x = 100,988.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.