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Finding the Fourth Proportional to 242,135.76, 362,962.62 and 115,628.10

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Solution

The fourth proportional to 242,135.76, 362,962.62 and 115,628.10 is: 173,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,135.76 : 362,962.62 = 115,628.10 : x
  2. Step 2: Convert to fraction form
    242,135.76/362,962.62 = 115,628.10/x
  3. Step 3: Cross multiply
    242,135.76x = 362,962.62 × 115,628.10
  4. Step 4: Simplify right side
    242,135.76x = 41,968,678,121.62
  5. Step 5: Solve for x
    x = 41,968,678,121.62/242,135.76
  6. Step 6: Final answer
    x = 173,327.05

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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.