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Finding the Fourth Proportional to 147,902.98, 221,866.62 and 42,722.86

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Solution

The fourth proportional to 147,902.98, 221,866.62 and 42,722.86 is: 64,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,902.98 : 221,866.62 = 42,722.86 : x
  2. Step 2: Convert to fraction form
    147,902.98/221,866.62 = 42,722.86/x
  3. Step 3: Cross multiply
    147,902.98x = 221,866.62 × 42,722.86
  4. Step 4: Simplify right side
    147,902.98x = 9,478,776,544.93
  5. Step 5: Solve for x
    x = 9,478,776,544.93/147,902.98
  6. Step 6: Final answer
    x = 64,087.80

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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.