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Finding the Fourth Proportional to 199,798.34, 275,710.65 and 114,916.82

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Solution

The fourth proportional to 199,798.34, 275,710.65 and 114,916.82 is: 158,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,798.34 : 275,710.65 = 114,916.82 : x
  2. Step 2: Convert to fraction form
    199,798.34/275,710.65 = 114,916.82/x
  3. Step 3: Cross multiply
    199,798.34x = 275,710.65 × 114,916.82
  4. Step 4: Simplify right side
    199,798.34x = 31,683,791,138.13
  5. Step 5: Solve for x
    x = 31,683,791,138.13/199,798.34
  6. Step 6: Final answer
    x = 158,578.85

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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.