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Finding the Fourth Proportional to 195,855.44, 293,783.16 and 48,111.44

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Solution

The fourth proportional to 195,855.44, 293,783.16 and 48,111.44 is: 72,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,855.44 : 293,783.16 = 48,111.44 : x
  2. Step 2: Convert to fraction form
    195,855.44/293,783.16 = 48,111.44/x
  3. Step 3: Cross multiply
    195,855.44x = 293,783.16 × 48,111.44
  4. Step 4: Simplify right side
    195,855.44x = 14,134,330,875.35
  5. Step 5: Solve for x
    x = 14,134,330,875.35/195,855.44
  6. Step 6: Final answer
    x = 72,167.16

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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.