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Finding the Fourth Proportional to 213,205.52, 294,215.87 and 116,407.59

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Solution

The fourth proportional to 213,205.52, 294,215.87 and 116,407.59 is: 160,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,205.52 : 294,215.87 = 116,407.59 : x
  2. Step 2: Convert to fraction form
    213,205.52/294,215.87 = 116,407.59/x
  3. Step 3: Cross multiply
    213,205.52x = 294,215.87 × 116,407.59
  4. Step 4: Simplify right side
    213,205.52x = 34,248,959,784.42
  5. Step 5: Solve for x
    x = 34,248,959,784.42/213,205.52
  6. Step 6: Final answer
    x = 160,638.25

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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.