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Finding the Fourth Proportional to 213,145.20, 293,959.80 and 128,246.40

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Solution

The fourth proportional to 213,145.20, 293,959.80 and 128,246.40 is: 176,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,145.20 : 293,959.80 = 128,246.40 : x
  2. Step 2: Convert to fraction form
    213,145.20/293,959.80 = 128,246.40/x
  3. Step 3: Cross multiply
    213,145.20x = 293,959.80 × 128,246.40
  4. Step 4: Simplify right side
    213,145.20x = 37,699,286,094.72
  5. Step 5: Solve for x
    x = 37,699,286,094.72/213,145.20
  6. Step 6: Final answer
    x = 176,871.38

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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.