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Finding the Fourth Proportional to 186,827.34, 257,827.95 and 101,949.06

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Solution

The fourth proportional to 186,827.34, 257,827.95 and 101,949.06 is: 140,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,827.34 : 257,827.95 = 101,949.06 : x
  2. Step 2: Convert to fraction form
    186,827.34/257,827.95 = 101,949.06/x
  3. Step 3: Cross multiply
    186,827.34x = 257,827.95 × 101,949.06
  4. Step 4: Simplify right side
    186,827.34x = 26,285,317,144.23
  5. Step 5: Solve for x
    x = 26,285,317,144.23/186,827.34
  6. Step 6: Final answer
    x = 140,693.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.