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Finding the Fourth Proportional to 569,142.71, 853,693.68 and 142,682.06

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Solution

The fourth proportional to 569,142.71, 853,693.68 and 142,682.06 is: 214,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,142.71 : 853,693.68 = 142,682.06 : x
  2. Step 2: Convert to fraction form
    569,142.71/853,693.68 = 142,682.06/x
  3. Step 3: Cross multiply
    569,142.71x = 853,693.68 × 142,682.06
  4. Step 4: Simplify right side
    569,142.71x = 121,806,768,602.91
  5. Step 5: Solve for x
    x = 121,806,768,602.91/569,142.71
  6. Step 6: Final answer
    x = 214,017.97

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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.