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Finding the Fourth Proportional to 186,485.31, 257,349.75 and 101,602.38

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Solution

The fourth proportional to 186,485.31, 257,349.75 and 101,602.38 is: 140,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,485.31 : 257,349.75 = 101,602.38 : x
  2. Step 2: Convert to fraction form
    186,485.31/257,349.75 = 101,602.38/x
  3. Step 3: Cross multiply
    186,485.31x = 257,349.75 × 101,602.38
  4. Step 4: Simplify right side
    186,485.31x = 26,147,347,092.41
  5. Step 5: Solve for x
    x = 26,147,347,092.41/186,485.31
  6. Step 6: Final answer
    x = 140,211.30

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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.