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Finding the Fourth Proportional to 308,048.16, 462,068.88 and 97,680.48

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Solution

The fourth proportional to 308,048.16, 462,068.88 and 97,680.48 is: 146,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,048.16 : 462,068.88 = 97,680.48 : x
  2. Step 2: Convert to fraction form
    308,048.16/462,068.88 = 97,680.48/x
  3. Step 3: Cross multiply
    308,048.16x = 462,068.88 × 97,680.48
  4. Step 4: Simplify right side
    308,048.16x = 45,135,109,991.46
  5. Step 5: Solve for x
    x = 45,135,109,991.46/308,048.16
  6. Step 6: Final answer
    x = 146,519.65

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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.