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Finding the Fourth Proportional to 213,333.80, 294,399.74 and 117,840.49

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Solution

The fourth proportional to 213,333.80, 294,399.74 and 117,840.49 is: 162,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,333.80 : 294,399.74 = 117,840.49 : x
  2. Step 2: Convert to fraction form
    213,333.80/294,399.74 = 117,840.49/x
  3. Step 3: Cross multiply
    213,333.80x = 294,399.74 × 117,840.49
  4. Step 4: Simplify right side
    213,333.80x = 34,692,209,617.47
  5. Step 5: Solve for x
    x = 34,692,209,617.47/213,333.80
  6. Step 6: Final answer
    x = 162,619.38

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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.