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Finding the Fourth Proportional to 186,758, 257,725.72 and 101,875.06

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Solution

The fourth proportional to 186,758, 257,725.72 and 101,875.06 is: 140,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,758 : 257,725.72 = 101,875.06 : x
  2. Step 2: Convert to fraction form
    186,758/257,725.72 = 101,875.06/x
  3. Step 3: Cross multiply
    186,758x = 257,725.72 × 101,875.06
  4. Step 4: Simplify right side
    186,758x = 26,255,823,188.54
  5. Step 5: Solve for x
    x = 26,255,823,188.54/186,758
  6. Step 6: Final answer
    x = 140,587.41

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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.