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Finding the Fourth Proportional to 147,755.70, 221,321.55 and 97,859.70

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Solution

The fourth proportional to 147,755.70, 221,321.55 and 97,859.70 is: 146,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,755.70 : 221,321.55 = 97,859.70 : x
  2. Step 2: Convert to fraction form
    147,755.70/221,321.55 = 97,859.70/x
  3. Step 3: Cross multiply
    147,755.70x = 221,321.55 × 97,859.70
  4. Step 4: Simplify right side
    147,755.70x = 21,658,460,486.54
  5. Step 5: Solve for x
    x = 21,658,460,486.54/147,755.70
  6. Step 6: Final answer
    x = 146,582.91

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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.