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Finding the Fourth Proportional to 195,510.74, 293,256.36 and 114,503.28

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Solution

The fourth proportional to 195,510.74, 293,256.36 and 114,503.28 is: 171,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,510.74 : 293,256.36 = 114,503.28 : x
  2. Step 2: Convert to fraction form
    195,510.74/293,256.36 = 114,503.28/x
  3. Step 3: Cross multiply
    195,510.74x = 293,256.36 × 114,503.28
  4. Step 4: Simplify right side
    195,510.74x = 33,578,815,100.86
  5. Step 5: Solve for x
    x = 33,578,815,100.86/195,510.74
  6. Step 6: Final answer
    x = 171,749.21

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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.