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Finding the Fourth Proportional to 147,406.54, 221,109.80 and 36,598.54

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Solution

The fourth proportional to 147,406.54, 221,109.80 and 36,598.54 is: 54,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,406.54 : 221,109.80 = 36,598.54 : x
  2. Step 2: Convert to fraction form
    147,406.54/221,109.80 = 36,598.54/x
  3. Step 3: Cross multiply
    147,406.54x = 221,109.80 × 36,598.54
  4. Step 4: Simplify right side
    147,406.54x = 8,092,295,859.69
  5. Step 5: Solve for x
    x = 8,092,295,859.69/147,406.54
  6. Step 6: Final answer
    x = 54,897.81

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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.