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Finding the Fourth Proportional to 116,159.67, 160,241.31 and 75,897

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Solution

The fourth proportional to 116,159.67, 160,241.31 and 75,897 is: 104,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,159.67 : 160,241.31 = 75,897 : x
  2. Step 2: Convert to fraction form
    116,159.67/160,241.31 = 75,897/x
  3. Step 3: Cross multiply
    116,159.67x = 160,241.31 × 75,897
  4. Step 4: Simplify right side
    116,159.67x = 12,161,834,705.07
  5. Step 5: Solve for x
    x = 12,161,834,705.07/116,159.67
  6. Step 6: Final answer
    x = 104,699.29

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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.