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Finding the Fourth Proportional to 137,201.60, 205,751.25 and 47,219.18

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Solution

The fourth proportional to 137,201.60, 205,751.25 and 47,219.18 is: 70,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,201.60 : 205,751.25 = 47,219.18 : x
  2. Step 2: Convert to fraction form
    137,201.60/205,751.25 = 47,219.18/x
  3. Step 3: Cross multiply
    137,201.60x = 205,751.25 × 47,219.18
  4. Step 4: Simplify right side
    137,201.60x = 9,715,404,457.29
  5. Step 5: Solve for x
    x = 9,715,404,457.29/137,201.60
  6. Step 6: Final answer
    x = 70,811.16

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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.