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Finding the Fourth Proportional to 194,976.32, 292,464.48 and 70,317.32

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Solution

The fourth proportional to 194,976.32, 292,464.48 and 70,317.32 is: 105,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976.32 : 292,464.48 = 70,317.32 : x
  2. Step 2: Convert to fraction form
    194,976.32/292,464.48 = 70,317.32/x
  3. Step 3: Cross multiply
    194,976.32x = 292,464.48 × 70,317.32
  4. Step 4: Simplify right side
    194,976.32x = 20,565,318,428.79
  5. Step 5: Solve for x
    x = 20,565,318,428.79/194,976.32
  6. Step 6: Final answer
    x = 105,475.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.