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Finding the Fourth Proportional to 114,491.31, 157,965.71 and 74,206.77

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Solution

The fourth proportional to 114,491.31, 157,965.71 and 74,206.77 is: 102,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,491.31 : 157,965.71 = 74,206.77 : x
  2. Step 2: Convert to fraction form
    114,491.31/157,965.71 = 74,206.77/x
  3. Step 3: Cross multiply
    114,491.31x = 157,965.71 × 74,206.77
  4. Step 4: Simplify right side
    114,491.31x = 11,722,124,738.82
  5. Step 5: Solve for x
    x = 11,722,124,738.82/114,491.31
  6. Step 6: Final answer
    x = 102,384.41

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1.5x scale

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.