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Finding the Fourth Proportional to 197,661, 296,181.02 and 152,792.30

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Solution

The fourth proportional to 197,661, 296,181.02 and 152,792.30 is: 228,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,661 : 296,181.02 = 152,792.30 : x
  2. Step 2: Convert to fraction form
    197,661/296,181.02 = 152,792.30/x
  3. Step 3: Cross multiply
    197,661x = 296,181.02 × 152,792.30
  4. Step 4: Simplify right side
    197,661x = 45,254,179,262.15
  5. Step 5: Solve for x
    x = 45,254,179,262.15/197,661
  6. Step 6: Final answer
    x = 228,948.45

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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.