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Finding the Fourth Proportional to 161,861.60, 242,533.20 and 102,591.20

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Solution

The fourth proportional to 161,861.60, 242,533.20 and 102,591.20 is: 153,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,861.60 : 242,533.20 = 102,591.20 : x
  2. Step 2: Convert to fraction form
    161,861.60/242,533.20 = 102,591.20/x
  3. Step 3: Cross multiply
    161,861.60x = 242,533.20 × 102,591.20
  4. Step 4: Simplify right side
    161,861.60x = 24,881,772,027.84
  5. Step 5: Solve for x
    x = 24,881,772,027.84/161,861.60
  6. Step 6: Final answer
    x = 153,722.51

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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.