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Finding the Fourth Proportional to 211,141.08, 316,713.72 and 53,369.58

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Solution

The fourth proportional to 211,141.08, 316,713.72 and 53,369.58 is: 80,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,141.08 : 316,713.72 = 53,369.58 : x
  2. Step 2: Convert to fraction form
    211,141.08/316,713.72 = 53,369.58/x
  3. Step 3: Cross multiply
    211,141.08x = 316,713.72 × 53,369.58
  4. Step 4: Simplify right side
    211,141.08x = 16,902,878,216.64
  5. Step 5: Solve for x
    x = 16,902,878,216.64/211,141.08
  6. Step 6: Final answer
    x = 80,054.90

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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.