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Finding the Fourth Proportional to 213,215.76, 294,235.76 and 117,723.14

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Solution

The fourth proportional to 213,215.76, 294,235.76 and 117,723.14 is: 162,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,215.76 : 294,235.76 = 117,723.14 : x
  2. Step 2: Convert to fraction form
    213,215.76/294,235.76 = 117,723.14/x
  3. Step 3: Cross multiply
    213,215.76x = 294,235.76 × 117,723.14
  4. Step 4: Simplify right side
    213,215.76x = 34,638,357,567.49
  5. Step 5: Solve for x
    x = 34,638,357,567.49/213,215.76
  6. Step 6: Final answer
    x = 162,456.84

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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.