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Finding the Fourth Proportional to 299,193.15, 412,835.76 and 178,332.24

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Solution

The fourth proportional to 299,193.15, 412,835.76 and 178,332.24 is: 246,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,193.15 : 412,835.76 = 178,332.24 : x
  2. Step 2: Convert to fraction form
    299,193.15/412,835.76 = 178,332.24/x
  3. Step 3: Cross multiply
    299,193.15x = 412,835.76 × 178,332.24
  4. Step 4: Simplify right side
    299,193.15x = 73,621,925,832.90
  5. Step 5: Solve for x
    x = 73,621,925,832.90/299,193.15
  6. Step 6: Final answer
    x = 246,068.22

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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.