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Finding the Fourth Proportional to 242,828.88, 364,274.28 and 130,354.80

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Solution

The fourth proportional to 242,828.88, 364,274.28 and 130,354.80 is: 195,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,828.88 : 364,274.28 = 130,354.80 : x
  2. Step 2: Convert to fraction form
    242,828.88/364,274.28 = 130,354.80/x
  3. Step 3: Cross multiply
    242,828.88x = 364,274.28 × 130,354.80
  4. Step 4: Simplify right side
    242,828.88x = 47,484,900,914.54
  5. Step 5: Solve for x
    x = 47,484,900,914.54/242,828.88
  6. Step 6: Final answer
    x = 195,548.82

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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.