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Finding the Fourth Proportional to 569,144.19, 853,695.93 and 142,683.57

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Solution

The fourth proportional to 569,144.19, 853,695.93 and 142,683.57 is: 214,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,144.19 : 853,695.93 = 142,683.57 : x
  2. Step 2: Convert to fraction form
    569,144.19/853,695.93 = 142,683.57/x
  3. Step 3: Cross multiply
    569,144.19x = 853,695.93 × 142,683.57
  4. Step 4: Simplify right side
    569,144.19x = 121,808,382,986.87
  5. Step 5: Solve for x
    x = 121,808,382,986.87/569,144.19
  6. Step 6: Final answer
    x = 214,020.25

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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.