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Finding the Fourth Proportional to 282,653.62, 390,043.65 and 161,795.86

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Solution

The fourth proportional to 282,653.62, 390,043.65 and 161,795.86 is: 223,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,653.62 : 390,043.65 = 161,795.86 : x
  2. Step 2: Convert to fraction form
    282,653.62/390,043.65 = 161,795.86/x
  3. Step 3: Cross multiply
    282,653.62x = 390,043.65 × 161,795.86
  4. Step 4: Simplify right side
    282,653.62x = 63,107,447,789.29
  5. Step 5: Solve for x
    x = 63,107,447,789.29/282,653.62
  6. Step 6: Final answer
    x = 223,267.79

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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.