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Finding the Fourth Proportional to 282,667.80, 390,080.40 and 161,808.50

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Solution

The fourth proportional to 282,667.80, 390,080.40 and 161,808.50 is: 223,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,667.80 : 390,080.40 = 161,808.50 : x
  2. Step 2: Convert to fraction form
    282,667.80/390,080.40 = 161,808.50/x
  3. Step 3: Cross multiply
    282,667.80x = 390,080.40 × 161,808.50
  4. Step 4: Simplify right side
    282,667.80x = 63,118,324,403.40
  5. Step 5: Solve for x
    x = 63,118,324,403.40/282,667.80
  6. Step 6: Final answer
    x = 223,295.06

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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.