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Finding the Fourth Proportional to 213,293.64, 294,343.41 and 117,798.29

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Solution

The fourth proportional to 213,293.64, 294,343.41 and 117,798.29 is: 162,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,293.64 : 294,343.41 = 117,798.29 : x
  2. Step 2: Convert to fraction form
    213,293.64/294,343.41 = 117,798.29/x
  3. Step 3: Cross multiply
    213,293.64x = 294,343.41 × 117,798.29
  4. Step 4: Simplify right side
    213,293.64x = 34,673,148,899.05
  5. Step 5: Solve for x
    x = 34,673,148,899.05/213,293.64
  6. Step 6: Final answer
    x = 162,560.63

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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.