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Finding the Fourth Proportional to 157,965.50, 236,948.25 and 47,157.50

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Solution

The fourth proportional to 157,965.50, 236,948.25 and 47,157.50 is: 70,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,965.50 : 236,948.25 = 47,157.50 : x
  2. Step 2: Convert to fraction form
    157,965.50/236,948.25 = 47,157.50/x
  3. Step 3: Cross multiply
    157,965.50x = 236,948.25 × 47,157.50
  4. Step 4: Simplify right side
    157,965.50x = 11,173,887,099.38
  5. Step 5: Solve for x
    x = 11,173,887,099.38/157,965.50
  6. Step 6: Final answer
    x = 70,736.25

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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.