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Finding the Fourth Proportional to 213,164.66, 294,167.63 and 117,671.47

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Solution

The fourth proportional to 213,164.66, 294,167.63 and 117,671.47 is: 162,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,164.66 : 294,167.63 = 117,671.47 : x
  2. Step 2: Convert to fraction form
    213,164.66/294,167.63 = 117,671.47/x
  3. Step 3: Cross multiply
    213,164.66x = 294,167.63 × 117,671.47
  4. Step 4: Simplify right side
    213,164.66x = 34,615,137,007.28
  5. Step 5: Solve for x
    x = 34,615,137,007.28/213,164.66
  6. Step 6: Final answer
    x = 162,386.84

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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.