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Finding the Fourth Proportional to 185,804.93, 256,393.14 and 105,216.95

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Solution

The fourth proportional to 185,804.93, 256,393.14 and 105,216.95 is: 145,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,804.93 : 256,393.14 = 105,216.95 : x
  2. Step 2: Convert to fraction form
    185,804.93/256,393.14 = 105,216.95/x
  3. Step 3: Cross multiply
    185,804.93x = 256,393.14 × 105,216.95
  4. Step 4: Simplify right side
    185,804.93x = 26,976,904,191.72
  5. Step 5: Solve for x
    x = 26,976,904,191.72/185,804.93
  6. Step 6: Final answer
    x = 145,189.39

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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.