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Finding the Fourth Proportional to 185,809.14, 256,415.49 and 100,925.46

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Solution

The fourth proportional to 185,809.14, 256,415.49 and 100,925.46 is: 139,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,809.14 : 256,415.49 = 100,925.46 : x
  2. Step 2: Convert to fraction form
    185,809.14/256,415.49 = 100,925.46/x
  3. Step 3: Cross multiply
    185,809.14x = 256,415.49 × 100,925.46
  4. Step 4: Simplify right side
    185,809.14x = 25,878,851,279.38
  5. Step 5: Solve for x
    x = 25,878,851,279.38/185,809.14
  6. Step 6: Final answer
    x = 139,276.52

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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.