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Finding the Fourth Proportional to 228,613.65, 315,640.94 and 142,703.47

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Solution

The fourth proportional to 228,613.65, 315,640.94 and 142,703.47 is: 197,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,613.65 : 315,640.94 = 142,703.47 : x
  2. Step 2: Convert to fraction form
    228,613.65/315,640.94 = 142,703.47/x
  3. Step 3: Cross multiply
    228,613.65x = 315,640.94 × 142,703.47
  4. Step 4: Simplify right side
    228,613.65x = 45,043,057,412.06
  5. Step 5: Solve for x
    x = 45,043,057,412.06/228,613.65
  6. Step 6: Final answer
    x = 197,026.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.