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Finding the Fourth Proportional to 209,465.60, 314,279.04 and 97,203.20

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Solution

The fourth proportional to 209,465.60, 314,279.04 and 97,203.20 is: 145,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,465.60 : 314,279.04 = 97,203.20 : x
  2. Step 2: Convert to fraction form
    209,465.60/314,279.04 = 97,203.20/x
  3. Step 3: Cross multiply
    209,465.60x = 314,279.04 × 97,203.20
  4. Step 4: Simplify right side
    209,465.60x = 30,548,928,380.93
  5. Step 5: Solve for x
    x = 30,548,928,380.93/209,465.60
  6. Step 6: Final answer
    x = 145,842.22

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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.