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Finding the Fourth Proportional to 213,335.76, 294,397.70 and 117,840.40

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Solution

The fourth proportional to 213,335.76, 294,397.70 and 117,840.40 is: 162,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,335.76 : 294,397.70 = 117,840.40 : x
  2. Step 2: Convert to fraction form
    213,335.76/294,397.70 = 117,840.40/x
  3. Step 3: Cross multiply
    213,335.76x = 294,397.70 × 117,840.40
  4. Step 4: Simplify right side
    213,335.76x = 34,691,942,727.08
  5. Step 5: Solve for x
    x = 34,691,942,727.08/213,335.76
  6. Step 6: Final answer
    x = 162,616.63

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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.