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Finding the Fourth Proportional to 101,223.60, 151,835.40 and 31,102.80

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Solution

The fourth proportional to 101,223.60, 151,835.40 and 31,102.80 is: 46,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,223.60 : 151,835.40 = 31,102.80 : x
  2. Step 2: Convert to fraction form
    101,223.60/151,835.40 = 31,102.80/x
  3. Step 3: Cross multiply
    101,223.60x = 151,835.40 × 31,102.80
  4. Step 4: Simplify right side
    101,223.60x = 4,722,506,079.12
  5. Step 5: Solve for x
    x = 4,722,506,079.12/101,223.60
  6. Step 6: Final answer
    x = 46,654.20

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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.