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Finding the Fourth Proportional to 157,032, 235,610.94 and 57,199.08

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Solution

The fourth proportional to 157,032, 235,610.94 and 57,199.08 is: 85,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,032 : 235,610.94 = 57,199.08 : x
  2. Step 2: Convert to fraction form
    157,032/235,610.94 = 57,199.08/x
  3. Step 3: Cross multiply
    157,032x = 235,610.94 × 57,199.08
  4. Step 4: Simplify right side
    157,032x = 13,476,729,005.94
  5. Step 5: Solve for x
    x = 13,476,729,005.94/157,032
  6. Step 6: Final answer
    x = 85,821.55

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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.