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Finding the Fourth Proportional to 213,953.63, 295,260.53 and 117,161.57

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Solution

The fourth proportional to 213,953.63, 295,260.53 and 117,161.57 is: 161,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,953.63 : 295,260.53 = 117,161.57 : x
  2. Step 2: Convert to fraction form
    213,953.63/295,260.53 = 117,161.57/x
  3. Step 3: Cross multiply
    213,953.63x = 295,260.53 × 117,161.57
  4. Step 4: Simplify right side
    213,953.63x = 34,593,187,406.18
  5. Step 5: Solve for x
    x = 34,593,187,406.18/213,953.63
  6. Step 6: Final answer
    x = 161,685.45

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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.