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Finding the Fourth Proportional to 185,870.65, 256,493.14 and 105,296.53

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Solution

The fourth proportional to 185,870.65, 256,493.14 and 105,296.53 is: 145,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,870.65 : 256,493.14 = 105,296.53 : x
  2. Step 2: Convert to fraction form
    185,870.65/256,493.14 = 105,296.53/x
  3. Step 3: Cross multiply
    185,870.65x = 256,493.14 × 105,296.53
  4. Step 4: Simplify right side
    185,870.65x = 27,007,837,610.80
  5. Step 5: Solve for x
    x = 27,007,837,610.80/185,870.65
  6. Step 6: Final answer
    x = 145,304.48

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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.