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Finding the Fourth Proportional to 213,527.10, 294,667.29 and 118,033.77

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Solution

The fourth proportional to 213,527.10, 294,667.29 and 118,033.77 is: 162,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,527.10 : 294,667.29 = 118,033.77 : x
  2. Step 2: Convert to fraction form
    213,527.10/294,667.29 = 118,033.77/x
  3. Step 3: Cross multiply
    213,527.10x = 294,667.29 × 118,033.77
  4. Step 4: Simplify right side
    213,527.10x = 34,780,691,134.38
  5. Step 5: Solve for x
    x = 34,780,691,134.38/213,527.10
  6. Step 6: Final answer
    x = 162,886.54

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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.