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Finding the Fourth Proportional to 257,388.96, 355,196.14 and 141,102.22

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Solution

The fourth proportional to 257,388.96, 355,196.14 and 141,102.22 is: 194,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,388.96 : 355,196.14 = 141,102.22 : x
  2. Step 2: Convert to fraction form
    257,388.96/355,196.14 = 141,102.22/x
  3. Step 3: Cross multiply
    257,388.96x = 355,196.14 × 141,102.22
  4. Step 4: Simplify right side
    257,388.96x = 50,118,963,889.43
  5. Step 5: Solve for x
    x = 50,118,963,889.43/257,388.96
  6. Step 6: Final answer
    x = 194,720.72

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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.