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Finding the Fourth Proportional to 282,609.23, 389,992.59 and 161,746.40

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Solution

The fourth proportional to 282,609.23, 389,992.59 and 161,746.40 is: 223,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,609.23 : 389,992.59 = 161,746.40 : x
  2. Step 2: Convert to fraction form
    282,609.23/389,992.59 = 161,746.40/x
  3. Step 3: Cross multiply
    282,609.23x = 389,992.59 × 161,746.40
  4. Step 4: Simplify right side
    282,609.23x = 63,079,898,434.16
  5. Step 5: Solve for x
    x = 63,079,898,434.16/282,609.23
  6. Step 6: Final answer
    x = 223,205.38

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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.