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Finding the Fourth Proportional to 282,762.80, 390,222.17 and 166,455.30

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Solution

The fourth proportional to 282,762.80, 390,222.17 and 166,455.30 is: 229,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,762.80 : 390,222.17 = 166,455.30 : x
  2. Step 2: Convert to fraction form
    282,762.80/390,222.17 = 166,455.30/x
  3. Step 3: Cross multiply
    282,762.80x = 390,222.17 × 166,455.30
  4. Step 4: Simplify right side
    282,762.80x = 64,954,548,370.58
  5. Step 5: Solve for x
    x = 64,954,548,370.58/282,762.80
  6. Step 6: Final answer
    x = 229,713.91

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