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Finding the Fourth Proportional to 157,903.44, 217,902 and 94,283.76

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Solution

The fourth proportional to 157,903.44, 217,902 and 94,283.76 is: 130,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,903.44 : 217,902 = 94,283.76 : x
  2. Step 2: Convert to fraction form
    157,903.44/217,902 = 94,283.76/x
  3. Step 3: Cross multiply
    157,903.44x = 217,902 × 94,283.76
  4. Step 4: Simplify right side
    157,903.44x = 20,544,619,871.52
  5. Step 5: Solve for x
    x = 20,544,619,871.52/157,903.44
  6. Step 6: Final answer
    x = 130,108.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.