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Finding the Fourth Proportional to 213,089.65, 294,063.11 and 117,595.66

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Solution

The fourth proportional to 213,089.65, 294,063.11 and 117,595.66 is: 162,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,089.65 : 294,063.11 = 117,595.66 : x
  2. Step 2: Convert to fraction form
    213,089.65/294,063.11 = 117,595.66/x
  3. Step 3: Cross multiply
    213,089.65x = 294,063.11 × 117,595.66
  4. Step 4: Simplify right side
    213,089.65x = 34,580,546,163.67
  5. Step 5: Solve for x
    x = 34,580,546,163.67/213,089.65
  6. Step 6: Final answer
    x = 162,281.68

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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.