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Finding the Fourth Proportional to 209,104.96, 288,570.72 and 123,070

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Solution

The fourth proportional to 209,104.96, 288,570.72 and 123,070 is: 169,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,104.96 : 288,570.72 = 123,070 : x
  2. Step 2: Convert to fraction form
    209,104.96/288,570.72 = 123,070/x
  3. Step 3: Cross multiply
    209,104.96x = 288,570.72 × 123,070
  4. Step 4: Simplify right side
    209,104.96x = 35,514,398,510.40
  5. Step 5: Solve for x
    x = 35,514,398,510.40/209,104.96
  6. Step 6: Final answer
    x = 169,840.06

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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.