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Finding the Fourth Proportional to 202,826.40, 304,210.80 and 69,712.80

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Solution

The fourth proportional to 202,826.40, 304,210.80 and 69,712.80 is: 104,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,826.40 : 304,210.80 = 69,712.80 : x
  2. Step 2: Convert to fraction form
    202,826.40/304,210.80 = 69,712.80/x
  3. Step 3: Cross multiply
    202,826.40x = 304,210.80 × 69,712.80
  4. Step 4: Simplify right side
    202,826.40x = 21,207,386,658.24
  5. Step 5: Solve for x
    x = 21,207,386,658.24/202,826.40
  6. Step 6: Final answer
    x = 104,559.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.