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Finding the Fourth Proportional to 195,411.96, 293,122.98 and 53,258.40

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Solution

The fourth proportional to 195,411.96, 293,122.98 and 53,258.40 is: 79,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,411.96 : 293,122.98 = 53,258.40 : x
  2. Step 2: Convert to fraction form
    195,411.96/293,122.98 = 53,258.40/x
  3. Step 3: Cross multiply
    195,411.96x = 293,122.98 × 53,258.40
  4. Step 4: Simplify right side
    195,411.96x = 15,611,260,918.03
  5. Step 5: Solve for x
    x = 15,611,260,918.03/195,411.96
  6. Step 6: Final answer
    x = 79,888.97

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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.