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Finding the Fourth Proportional to 213,029.64, 293,928.48 and 130,222.71

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Solution

The fourth proportional to 213,029.64, 293,928.48 and 130,222.71 is: 179,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,029.64 : 293,928.48 = 130,222.71 : x
  2. Step 2: Convert to fraction form
    213,029.64/293,928.48 = 130,222.71/x
  3. Step 3: Cross multiply
    213,029.64x = 293,928.48 × 130,222.71
  4. Step 4: Simplify right side
    213,029.64x = 38,276,163,211.78
  5. Step 5: Solve for x
    x = 38,276,163,211.78/213,029.64
  6. Step 6: Final answer
    x = 179,675.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.