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Finding the Fourth Proportional to 186,211.50, 256,969.70 and 101,327.10

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Solution

The fourth proportional to 186,211.50, 256,969.70 and 101,327.10 is: 139,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,211.50 : 256,969.70 = 101,327.10 : x
  2. Step 2: Convert to fraction form
    186,211.50/256,969.70 = 101,327.10/x
  3. Step 3: Cross multiply
    186,211.50x = 256,969.70 × 101,327.10
  4. Step 4: Simplify right side
    186,211.50x = 26,037,994,488.87
  5. Step 5: Solve for x
    x = 26,037,994,488.87/186,211.50
  6. Step 6: Final answer
    x = 139,830.22

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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.