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Finding the Fourth Proportional to 185,830.98, 256,434 and 100,946.22

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Solution

The fourth proportional to 185,830.98, 256,434 and 100,946.22 is: 139,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,830.98 : 256,434 = 100,946.22 : x
  2. Step 2: Convert to fraction form
    185,830.98/256,434 = 100,946.22/x
  3. Step 3: Cross multiply
    185,830.98x = 256,434 × 100,946.22
  4. Step 4: Simplify right side
    185,830.98x = 25,886,042,979.48
  5. Step 5: Solve for x
    x = 25,886,042,979.48/185,830.98
  6. Step 6: Final answer
    x = 139,298.86

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