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Finding the Fourth Proportional to 157,086.10, 235,629.15 and 157,086.10

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Solution

The fourth proportional to 157,086.10, 235,629.15 and 157,086.10 is: 235,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,086.10 : 235,629.15 = 157,086.10 : x
  2. Step 2: Convert to fraction form
    157,086.10/235,629.15 = 157,086.10/x
  3. Step 3: Cross multiply
    157,086.10x = 235,629.15 × 157,086.10
  4. Step 4: Simplify right side
    157,086.10x = 37,014,064,219.82
  5. Step 5: Solve for x
    x = 37,014,064,219.82/157,086.10
  6. Step 6: Final answer
    x = 235,629.15

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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.