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Finding the Fourth Proportional to 195,522.50, 293,394.69 and 105,564.01

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Solution

The fourth proportional to 195,522.50, 293,394.69 and 105,564.01 is: 158,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,522.50 : 293,394.69 = 105,564.01 : x
  2. Step 2: Convert to fraction form
    195,522.50/293,394.69 = 105,564.01/x
  3. Step 3: Cross multiply
    195,522.50x = 293,394.69 × 105,564.01
  4. Step 4: Simplify right side
    195,522.50x = 30,971,919,989.11
  5. Step 5: Solve for x
    x = 30,971,919,989.11/195,522.50
  6. Step 6: Final answer
    x = 158,405.91

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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.