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Finding the Fourth Proportional to 282,276.48, 389,477.28 and 167,495.88

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Solution

The fourth proportional to 282,276.48, 389,477.28 and 167,495.88 is: 231,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,276.48 : 389,477.28 = 167,495.88 : x
  2. Step 2: Convert to fraction form
    282,276.48/389,477.28 = 167,495.88/x
  3. Step 3: Cross multiply
    282,276.48x = 389,477.28 × 167,495.88
  4. Step 4: Simplify right side
    282,276.48x = 65,235,839,753.61
  5. Step 5: Solve for x
    x = 65,235,839,753.61/282,276.48
  6. Step 6: Final answer
    x = 231,106.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.