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Finding the Fourth Proportional to 202,772.64, 304,210.80 and 84,404.64

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Solution

The fourth proportional to 202,772.64, 304,210.80 and 84,404.64 is: 126,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,772.64 : 304,210.80 = 84,404.64 : x
  2. Step 2: Convert to fraction form
    202,772.64/304,210.80 = 84,404.64/x
  3. Step 3: Cross multiply
    202,772.64x = 304,210.80 × 84,404.64
  4. Step 4: Simplify right side
    202,772.64x = 25,676,803,058.11
  5. Step 5: Solve for x
    x = 25,676,803,058.11/202,772.64
  6. Step 6: Final answer
    x = 126,628.54

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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.