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Finding the Fourth Proportional to 213,293.76, 294,344.46 and 117,799.98

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Solution

The fourth proportional to 213,293.76, 294,344.46 and 117,799.98 is: 162,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,293.76 : 294,344.46 = 117,799.98 : x
  2. Step 2: Convert to fraction form
    213,293.76/294,344.46 = 117,799.98/x
  3. Step 3: Cross multiply
    213,293.76x = 294,344.46 × 117,799.98
  4. Step 4: Simplify right side
    213,293.76x = 34,673,771,501.11
  5. Step 5: Solve for x
    x = 34,673,771,501.11/213,293.76
  6. Step 6: Final answer
    x = 162,563.46

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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.