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Finding the Fourth Proportional to 355,108.80, 532,965.60 and 144,897.60

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Solution

The fourth proportional to 355,108.80, 532,965.60 and 144,897.60 is: 217,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,108.80 : 532,965.60 = 144,897.60 : x
  2. Step 2: Convert to fraction form
    355,108.80/532,965.60 = 144,897.60/x
  3. Step 3: Cross multiply
    355,108.80x = 532,965.60 × 144,897.60
  4. Step 4: Simplify right side
    355,108.80x = 77,225,436,322.56
  5. Step 5: Solve for x
    x = 77,225,436,322.56/355,108.80
  6. Step 6: Final answer
    x = 217,469.79

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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.