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Finding the Fourth Proportional to 161,752.30, 242,847.15 and 102,703.30

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Solution

The fourth proportional to 161,752.30, 242,847.15 and 102,703.30 is: 154,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,752.30 : 242,847.15 = 102,703.30 : x
  2. Step 2: Convert to fraction form
    161,752.30/242,847.15 = 102,703.30/x
  3. Step 3: Cross multiply
    161,752.30x = 242,847.15 × 102,703.30
  4. Step 4: Simplify right side
    161,752.30x = 24,941,203,700.60
  5. Step 5: Solve for x
    x = 24,941,203,700.60/161,752.30
  6. Step 6: Final answer
    x = 154,193.81

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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.