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Finding the Fourth Proportional to 162,795.60, 243,901.80 and 100,393.20

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Solution

The fourth proportional to 162,795.60, 243,901.80 and 100,393.20 is: 150,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,795.60 : 243,901.80 = 100,393.20 : x
  2. Step 2: Convert to fraction form
    162,795.60/243,901.80 = 100,393.20/x
  3. Step 3: Cross multiply
    162,795.60x = 243,901.80 × 100,393.20
  4. Step 4: Simplify right side
    162,795.60x = 24,486,082,187.76
  5. Step 5: Solve for x
    x = 24,486,082,187.76/162,795.60
  6. Step 6: Final answer
    x = 150,409.98

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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.