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Finding the Fourth Proportional to 202,801.30, 304,178.71 and 53,056.04

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Solution

The fourth proportional to 202,801.30, 304,178.71 and 53,056.04 is: 79,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,801.30 : 304,178.71 = 53,056.04 : x
  2. Step 2: Convert to fraction form
    202,801.30/304,178.71 = 53,056.04/x
  3. Step 3: Cross multiply
    202,801.30x = 304,178.71 × 53,056.04
  4. Step 4: Simplify right side
    202,801.30x = 16,138,518,764.32
  5. Step 5: Solve for x
    x = 16,138,518,764.32/202,801.30
  6. Step 6: Final answer
    x = 79,577.98

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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.