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Finding the Fourth Proportional to 185,897.61, 256,539.38 and 101,014.65

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Solution

The fourth proportional to 185,897.61, 256,539.38 and 101,014.65 is: 139,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,897.61 : 256,539.38 = 101,014.65 : x
  2. Step 2: Convert to fraction form
    185,897.61/256,539.38 = 101,014.65/x
  3. Step 3: Cross multiply
    185,897.61x = 256,539.38 × 101,014.65
  4. Step 4: Simplify right side
    185,897.61x = 25,914,235,176.84
  5. Step 5: Solve for x
    x = 25,914,235,176.84/185,897.61
  6. Step 6: Final answer
    x = 139,400.58

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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.