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Finding the Fourth Proportional to 213,003.63, 293,946 and 117,510.30

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Solution

The fourth proportional to 213,003.63, 293,946 and 117,510.30 is: 162,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,003.63 : 293,946 = 117,510.30 : x
  2. Step 2: Convert to fraction form
    213,003.63/293,946 = 117,510.30/x
  3. Step 3: Cross multiply
    213,003.63x = 293,946 × 117,510.30
  4. Step 4: Simplify right side
    213,003.63x = 34,541,682,643.80
  5. Step 5: Solve for x
    x = 34,541,682,643.80/213,003.63
  6. Step 6: Final answer
    x = 162,164.76

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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.