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Finding the Fourth Proportional to 213,565.02, 294,725.88 and 118,077.88

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Solution

The fourth proportional to 213,565.02, 294,725.88 and 118,077.88 is: 162,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,565.02 : 294,725.88 = 118,077.88 : x
  2. Step 2: Convert to fraction form
    213,565.02/294,725.88 = 118,077.88/x
  3. Step 3: Cross multiply
    213,565.02x = 294,725.88 × 118,077.88
  4. Step 4: Simplify right side
    213,565.02x = 34,800,607,091.53
  5. Step 5: Solve for x
    x = 34,800,607,091.53/213,565.02
  6. Step 6: Final answer
    x = 162,950.88

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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.