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Finding the Fourth Proportional to 242,114.88, 363,512.64 and 123,871.04

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Solution

The fourth proportional to 242,114.88, 363,512.64 and 123,871.04 is: 185,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,114.88 : 363,512.64 = 123,871.04 : x
  2. Step 2: Convert to fraction form
    242,114.88/363,512.64 = 123,871.04/x
  3. Step 3: Cross multiply
    242,114.88x = 363,512.64 × 123,871.04
  4. Step 4: Simplify right side
    242,114.88x = 45,028,688,769.95
  5. Step 5: Solve for x
    x = 45,028,688,769.95/242,114.88
  6. Step 6: Final answer
    x = 185,980.67

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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.