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Finding the Fourth Proportional to 186,433.94, 257,278.74 and 101,551

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Solution

The fourth proportional to 186,433.94, 257,278.74 and 101,551 is: 140,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,433.94 : 257,278.74 = 101,551 : x
  2. Step 2: Convert to fraction form
    186,433.94/257,278.74 = 101,551/x
  3. Step 3: Cross multiply
    186,433.94x = 257,278.74 × 101,551
  4. Step 4: Simplify right side
    186,433.94x = 26,126,913,325.74
  5. Step 5: Solve for x
    x = 26,126,913,325.74/186,433.94
  6. Step 6: Final answer
    x = 140,140.33

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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.