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Finding the Fourth Proportional to 161,895.80, 243,062.40 and 102,846.80

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Solution

The fourth proportional to 161,895.80, 243,062.40 and 102,846.80 is: 154,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,895.80 : 243,062.40 = 102,846.80 : x
  2. Step 2: Convert to fraction form
    161,895.80/243,062.40 = 102,846.80/x
  3. Step 3: Cross multiply
    161,895.80x = 243,062.40 × 102,846.80
  4. Step 4: Simplify right side
    161,895.80x = 24,998,190,040.32
  5. Step 5: Solve for x
    x = 24,998,190,040.32/161,895.80
  6. Step 6: Final answer
    x = 154,409.13

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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.