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Finding the Fourth Proportional to 213,205.31, 294,210.66 and 116,389.86

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Solution

The fourth proportional to 213,205.31, 294,210.66 and 116,389.86 is: 160,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,205.31 : 294,210.66 = 116,389.86 : x
  2. Step 2: Convert to fraction form
    213,205.31/294,210.66 = 116,389.86/x
  3. Step 3: Cross multiply
    213,205.31x = 294,210.66 × 116,389.86
  4. Step 4: Simplify right side
    213,205.31x = 34,243,137,527.91
  5. Step 5: Solve for x
    x = 34,243,137,527.91/213,205.31
  6. Step 6: Final answer
    x = 160,611.10

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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.