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Finding the Fourth Proportional to 186,593.95, 257,499.64 and 101,711.01

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Solution

The fourth proportional to 186,593.95, 257,499.64 and 101,711.01 is: 140,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,593.95 : 257,499.64 = 101,711.01 : x
  2. Step 2: Convert to fraction form
    186,593.95/257,499.64 = 101,711.01/x
  3. Step 3: Cross multiply
    186,593.95x = 257,499.64 × 101,711.01
  4. Step 4: Simplify right side
    186,593.95x = 26,190,548,459.04
  5. Step 5: Solve for x
    x = 26,190,548,459.04/186,593.95
  6. Step 6: Final answer
    x = 140,361.19

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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.