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Finding the Fourth Proportional to 193,852.90, 290,660.28 and 75,386.15

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Solution

The fourth proportional to 193,852.90, 290,660.28 and 75,386.15 is: 113,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,852.90 : 290,660.28 = 75,386.15 : x
  2. Step 2: Convert to fraction form
    193,852.90/290,660.28 = 75,386.15/x
  3. Step 3: Cross multiply
    193,852.90x = 290,660.28 × 75,386.15
  4. Step 4: Simplify right side
    193,852.90x = 21,911,759,467.12
  5. Step 5: Solve for x
    x = 21,911,759,467.12/193,852.90
  6. Step 6: Final answer
    x = 113,032.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.