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Finding the Fourth Proportional to 195,896.17, 293,671.95 and 77,650.51

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Solution

The fourth proportional to 195,896.17, 293,671.95 and 77,650.51 is: 116,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,896.17 : 293,671.95 = 77,650.51 : x
  2. Step 2: Convert to fraction form
    195,896.17/293,671.95 = 77,650.51/x
  3. Step 3: Cross multiply
    195,896.17x = 293,671.95 × 77,650.51
  4. Step 4: Simplify right side
    195,896.17x = 22,803,776,690.19
  5. Step 5: Solve for x
    x = 22,803,776,690.19/195,896.17
  6. Step 6: Final answer
    x = 116,407.47

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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.