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Finding the Fourth Proportional to 186,012.25, 256,702.31 and 105,437.09

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Solution

The fourth proportional to 186,012.25, 256,702.31 and 105,437.09 is: 145,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,012.25 : 256,702.31 = 105,437.09 : x
  2. Step 2: Convert to fraction form
    186,012.25/256,702.31 = 105,437.09/x
  3. Step 3: Cross multiply
    186,012.25x = 256,702.31 × 105,437.09
  4. Step 4: Simplify right side
    186,012.25x = 27,065,945,665.72
  5. Step 5: Solve for x
    x = 27,065,945,665.72/186,012.25
  6. Step 6: Final answer
    x = 145,506.26

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1.5x scale

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.