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Finding the Fourth Proportional to 186,840.52, 257,837.50 and 101,952.11

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Solution

The fourth proportional to 186,840.52, 257,837.50 and 101,952.11 is: 140,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,840.52 : 257,837.50 = 101,952.11 : x
  2. Step 2: Convert to fraction form
    186,840.52/257,837.50 = 101,952.11/x
  3. Step 3: Cross multiply
    186,840.52x = 257,837.50 × 101,952.11
  4. Step 4: Simplify right side
    186,840.52x = 26,287,077,162.13
  5. Step 5: Solve for x
    x = 26,287,077,162.13/186,840.52
  6. Step 6: Final answer
    x = 140,692.59

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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.