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Finding the Fourth Proportional to 205,053.40, 307,551.30 and 64,826.20

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Solution

The fourth proportional to 205,053.40, 307,551.30 and 64,826.20 is: 97,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,053.40 : 307,551.30 = 64,826.20 : x
  2. Step 2: Convert to fraction form
    205,053.40/307,551.30 = 64,826.20/x
  3. Step 3: Cross multiply
    205,053.40x = 307,551.30 × 64,826.20
  4. Step 4: Simplify right side
    205,053.40x = 19,937,382,084.06
  5. Step 5: Solve for x
    x = 19,937,382,084.06/205,053.40
  6. Step 6: Final answer
    x = 97,230.20

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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.