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Finding the Fourth Proportional to 213,271.04, 294,306 and 116,471.68

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Solution

The fourth proportional to 213,271.04, 294,306 and 116,471.68 is: 160,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,271.04 : 294,306 = 116,471.68 : x
  2. Step 2: Convert to fraction form
    213,271.04/294,306 = 116,471.68/x
  3. Step 3: Cross multiply
    213,271.04x = 294,306 × 116,471.68
  4. Step 4: Simplify right side
    213,271.04x = 34,278,314,254.08
  5. Step 5: Solve for x
    x = 34,278,314,254.08/213,271.04
  6. Step 6: Final answer
    x = 160,726.53

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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.