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Finding the Fourth Proportional to 207,746.60, 311,159.10 and 160,847.40

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Solution

The fourth proportional to 207,746.60, 311,159.10 and 160,847.40 is: 240,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,746.60 : 311,159.10 = 160,847.40 : x
  2. Step 2: Convert to fraction form
    207,746.60/311,159.10 = 160,847.40/x
  3. Step 3: Cross multiply
    207,746.60x = 311,159.10 × 160,847.40
  4. Step 4: Simplify right side
    207,746.60x = 50,049,132,221.34
  5. Step 5: Solve for x
    x = 50,049,132,221.34/207,746.60
  6. Step 6: Final answer
    x = 240,914.33

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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.