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Finding the Fourth Proportional to 147,835.26, 221,760.02 and 41,219.01

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Solution

The fourth proportional to 147,835.26, 221,760.02 and 41,219.01 is: 61,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,835.26 : 221,760.02 = 41,219.01 : x
  2. Step 2: Convert to fraction form
    147,835.26/221,760.02 = 41,219.01/x
  3. Step 3: Cross multiply
    147,835.26x = 221,760.02 × 41,219.01
  4. Step 4: Simplify right side
    147,835.26x = 9,140,727,373.18
  5. Step 5: Solve for x
    x = 9,140,727,373.18/147,835.26
  6. Step 6: Final answer
    x = 61,830.50

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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.