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Finding the Fourth Proportional to 213,299.76, 294,352.74 and 117,805.98

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Solution

The fourth proportional to 213,299.76, 294,352.74 and 117,805.98 is: 162,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,299.76 : 294,352.74 = 117,805.98 : x
  2. Step 2: Convert to fraction form
    213,299.76/294,352.74 = 117,805.98/x
  3. Step 3: Cross multiply
    213,299.76x = 294,352.74 × 117,805.98
  4. Step 4: Simplify right side
    213,299.76x = 34,676,513,001.39
  5. Step 5: Solve for x
    x = 34,676,513,001.39/213,299.76
  6. Step 6: Final answer
    x = 162,571.74

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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.