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Finding the Fourth Proportional to 116,023.74, 160,102.82 and 64,342.50

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Solution

The fourth proportional to 116,023.74, 160,102.82 and 64,342.50 is: 88,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,023.74 : 160,102.82 = 64,342.50 : x
  2. Step 2: Convert to fraction form
    116,023.74/160,102.82 = 64,342.50/x
  3. Step 3: Cross multiply
    116,023.74x = 160,102.82 × 64,342.50
  4. Step 4: Simplify right side
    116,023.74x = 10,301,415,374.14
  5. Step 5: Solve for x
    x = 10,301,415,374.14/116,023.74
  6. Step 6: Final answer
    x = 88,787.13

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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.