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Finding the Fourth Proportional to 195,384.16, 293,035.22 and 55,109.98

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Solution

The fourth proportional to 195,384.16, 293,035.22 and 55,109.98 is: 82,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,384.16 : 293,035.22 = 55,109.98 : x
  2. Step 2: Convert to fraction form
    195,384.16/293,035.22 = 55,109.98/x
  3. Step 3: Cross multiply
    195,384.16x = 293,035.22 × 55,109.98
  4. Step 4: Simplify right side
    195,384.16x = 16,149,165,113.50
  5. Step 5: Solve for x
    x = 16,149,165,113.50/195,384.16
  6. Step 6: Final answer
    x = 82,653.40

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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.