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Finding the Fourth Proportional to 186,114, 256,840.56 and 101,232.48

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Solution

The fourth proportional to 186,114, 256,840.56 and 101,232.48 is: 139,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,114 : 256,840.56 = 101,232.48 : x
  2. Step 2: Convert to fraction form
    186,114/256,840.56 = 101,232.48/x
  3. Step 3: Cross multiply
    186,114x = 256,840.56 × 101,232.48
  4. Step 4: Simplify right side
    186,114x = 26,000,606,853.39
  5. Step 5: Solve for x
    x = 26,000,606,853.39/186,114
  6. Step 6: Final answer
    x = 139,702.58

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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.