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Finding the Fourth Proportional to 190,841.85, 286,262.78 and 97,529.85

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Solution

The fourth proportional to 190,841.85, 286,262.78 and 97,529.85 is: 146,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,841.85 : 286,262.78 = 97,529.85 : x
  2. Step 2: Convert to fraction form
    190,841.85/286,262.78 = 97,529.85/x
  3. Step 3: Cross multiply
    190,841.85x = 286,262.78 × 97,529.85
  4. Step 4: Simplify right side
    190,841.85x = 27,919,165,506.33
  5. Step 5: Solve for x
    x = 27,919,165,506.33/190,841.85
  6. Step 6: Final answer
    x = 146,294.78

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1.5x scale

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.