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Finding the Fourth Proportional to 114,139.80, 170,384.85 and 100,143

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Solution

The fourth proportional to 114,139.80, 170,384.85 and 100,143 is: 149,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,139.80 : 170,384.85 = 100,143 : x
  2. Step 2: Convert to fraction form
    114,139.80/170,384.85 = 100,143/x
  3. Step 3: Cross multiply
    114,139.80x = 170,384.85 × 100,143
  4. Step 4: Simplify right side
    114,139.80x = 17,062,850,033.55
  5. Step 5: Solve for x
    x = 17,062,850,033.55/114,139.80
  6. Step 6: Final answer
    x = 149,490.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.