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Finding the Fourth Proportional to 242,076.40, 363,114.60 and 186,089.20

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Solution

The fourth proportional to 242,076.40, 363,114.60 and 186,089.20 is: 279,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,076.40 : 363,114.60 = 186,089.20 : x
  2. Step 2: Convert to fraction form
    242,076.40/363,114.60 = 186,089.20/x
  3. Step 3: Cross multiply
    242,076.40x = 363,114.60 × 186,089.20
  4. Step 4: Simplify right side
    242,076.40x = 67,571,705,422.32
  5. Step 5: Solve for x
    x = 67,571,705,422.32/242,076.40
  6. Step 6: Final answer
    x = 279,133.80

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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.