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Finding the Fourth Proportional to 209,322.10, 314,056.05 and 91,078.30

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Solution

The fourth proportional to 209,322.10, 314,056.05 and 91,078.30 is: 136,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,322.10 : 314,056.05 = 91,078.30 : x
  2. Step 2: Convert to fraction form
    209,322.10/314,056.05 = 91,078.30/x
  3. Step 3: Cross multiply
    209,322.10x = 314,056.05 × 91,078.30
  4. Step 4: Simplify right side
    209,322.10x = 28,603,691,138.72
  5. Step 5: Solve for x
    x = 28,603,691,138.72/209,322.10
  6. Step 6: Final answer
    x = 136,649.17

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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.