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Finding the Fourth Proportional to 196,809.10, 295,286.55 and 78,565.30

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Solution

The fourth proportional to 196,809.10, 295,286.55 and 78,565.30 is: 117,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,809.10 : 295,286.55 = 78,565.30 : x
  2. Step 2: Convert to fraction form
    196,809.10/295,286.55 = 78,565.30/x
  3. Step 3: Cross multiply
    196,809.10x = 295,286.55 × 78,565.30
  4. Step 4: Simplify right side
    196,809.10x = 23,199,276,386.72
  5. Step 5: Solve for x
    x = 23,199,276,386.72/196,809.10
  6. Step 6: Final answer
    x = 117,877.05

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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.