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Finding the Fourth Proportional to 202,148.64, 303,237.54 and 61,889.04

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Solution

The fourth proportional to 202,148.64, 303,237.54 and 61,889.04 is: 92,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,148.64 : 303,237.54 = 61,889.04 : x
  2. Step 2: Convert to fraction form
    202,148.64/303,237.54 = 61,889.04/x
  3. Step 3: Cross multiply
    202,148.64x = 303,237.54 × 61,889.04
  4. Step 4: Simplify right side
    202,148.64x = 18,767,080,242.56
  5. Step 5: Solve for x
    x = 18,767,080,242.56/202,148.64
  6. Step 6: Final answer
    x = 92,838.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.