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Finding the Fourth Proportional to 292,152, 403,169.80 and 158,016

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Solution

The fourth proportional to 292,152, 403,169.80 and 158,016 is: 218,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,152 : 403,169.80 = 158,016 : x
  2. Step 2: Convert to fraction form
    292,152/403,169.80 = 158,016/x
  3. Step 3: Cross multiply
    292,152x = 403,169.80 × 158,016
  4. Step 4: Simplify right side
    292,152x = 63,707,279,116.80
  5. Step 5: Solve for x
    x = 63,707,279,116.80/292,152
  6. Step 6: Final answer
    x = 218,062.10

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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.