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Finding the Fourth Proportional to 213,039.64, 293,942.28 and 130,232.72

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Solution

The fourth proportional to 213,039.64, 293,942.28 and 130,232.72 is: 179,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,039.64 : 293,942.28 = 130,232.72 : x
  2. Step 2: Convert to fraction form
    213,039.64/293,942.28 = 130,232.72/x
  3. Step 3: Cross multiply
    213,039.64x = 293,942.28 × 130,232.72
  4. Step 4: Simplify right side
    213,039.64x = 38,280,902,647.40
  5. Step 5: Solve for x
    x = 38,280,902,647.40/213,039.64
  6. Step 6: Final answer
    x = 179,689.11

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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.