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Finding the Fourth Proportional to 242,956.80, 364,435.20 and 180,748.80

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Solution

The fourth proportional to 242,956.80, 364,435.20 and 180,748.80 is: 271,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,956.80 : 364,435.20 = 180,748.80 : x
  2. Step 2: Convert to fraction form
    242,956.80/364,435.20 = 180,748.80/x
  3. Step 3: Cross multiply
    242,956.80x = 364,435.20 × 180,748.80
  4. Step 4: Simplify right side
    242,956.80x = 65,871,225,077.76
  5. Step 5: Solve for x
    x = 65,871,225,077.76/242,956.80
  6. Step 6: Final answer
    x = 271,123.20

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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.