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Finding the Fourth Proportional to 308,530.16, 462,748.48 and 106,157.04

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Solution

The fourth proportional to 308,530.16, 462,748.48 and 106,157.04 is: 159,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,530.16 : 462,748.48 = 106,157.04 : x
  2. Step 2: Convert to fraction form
    308,530.16/462,748.48 = 106,157.04/x
  3. Step 3: Cross multiply
    308,530.16x = 462,748.48 × 106,157.04
  4. Step 4: Simplify right side
    308,530.16x = 49,124,008,901.30
  5. Step 5: Solve for x
    x = 49,124,008,901.30/308,530.16
  6. Step 6: Final answer
    x = 159,219.47

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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.