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Finding the Fourth Proportional to 161,409.80, 242,114.70 and 154,152.20

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Solution

The fourth proportional to 161,409.80, 242,114.70 and 154,152.20 is: 231,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,409.80 : 242,114.70 = 154,152.20 : x
  2. Step 2: Convert to fraction form
    161,409.80/242,114.70 = 154,152.20/x
  3. Step 3: Cross multiply
    161,409.80x = 242,114.70 × 154,152.20
  4. Step 4: Simplify right side
    161,409.80x = 37,322,513,657.34
  5. Step 5: Solve for x
    x = 37,322,513,657.34/161,409.80
  6. Step 6: Final answer
    x = 231,228.30

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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.