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Finding the Fourth Proportional to 242,160.40, 362,803.20 and 148,556.80

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Solution

The fourth proportional to 242,160.40, 362,803.20 and 148,556.80 is: 222,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,160.40 : 362,803.20 = 148,556.80 : x
  2. Step 2: Convert to fraction form
    242,160.40/362,803.20 = 148,556.80/x
  3. Step 3: Cross multiply
    242,160.40x = 362,803.20 × 148,556.80
  4. Step 4: Simplify right side
    242,160.40x = 53,896,882,421.76
  5. Step 5: Solve for x
    x = 53,896,882,421.76/242,160.40
  6. Step 6: Final answer
    x = 222,566.87

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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.