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Finding the Fourth Proportional to 209,755.90, 289,570.44 and 142,130.26

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Solution

The fourth proportional to 209,755.90, 289,570.44 and 142,130.26 is: 196,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,755.90 : 289,570.44 = 142,130.26 : x
  2. Step 2: Convert to fraction form
    209,755.90/289,570.44 = 142,130.26/x
  3. Step 3: Cross multiply
    209,755.90x = 289,570.44 × 142,130.26
  4. Step 4: Simplify right side
    209,755.90x = 41,156,721,925.51
  5. Step 5: Solve for x
    x = 41,156,721,925.51/209,755.90
  6. Step 6: Final answer
    x = 196,212.46

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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.