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Finding the Fourth Proportional to 308,210.49, 462,420.77 and 166,070.34

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Solution

The fourth proportional to 308,210.49, 462,420.77 and 166,070.34 is: 249,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,210.49 : 462,420.77 = 166,070.34 : x
  2. Step 2: Convert to fraction form
    308,210.49/462,420.77 = 166,070.34/x
  3. Step 3: Cross multiply
    308,210.49x = 462,420.77 × 166,070.34
  4. Step 4: Simplify right side
    308,210.49x = 76,794,373,666.61
  5. Step 5: Solve for x
    x = 76,794,373,666.61/308,210.49
  6. Step 6: Final answer
    x = 249,162.10

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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.