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Finding the Fourth Proportional to 213,294.10, 294,340.20 and 117,798.74

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Solution

The fourth proportional to 213,294.10, 294,340.20 and 117,798.74 is: 162,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,294.10 : 294,340.20 = 117,798.74 : x
  2. Step 2: Convert to fraction form
    213,294.10/294,340.20 = 117,798.74/x
  3. Step 3: Cross multiply
    213,294.10x = 294,340.20 × 117,798.74
  4. Step 4: Simplify right side
    213,294.10x = 34,672,904,691.35
  5. Step 5: Solve for x
    x = 34,672,904,691.35/213,294.10
  6. Step 6: Final answer
    x = 162,559.14

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1.5x scale

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.