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Finding the Fourth Proportional to 186,463.73, 257,313.08 and 113,988.01

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Solution

The fourth proportional to 186,463.73, 257,313.08 and 113,988.01 is: 157,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,463.73 : 257,313.08 = 113,988.01 : x
  2. Step 2: Convert to fraction form
    186,463.73/257,313.08 = 113,988.01/x
  3. Step 3: Cross multiply
    186,463.73x = 257,313.08 × 113,988.01
  4. Step 4: Simplify right side
    186,463.73x = 29,330,605,936.17
  5. Step 5: Solve for x
    x = 29,330,605,936.17/186,463.73
  6. Step 6: Final answer
    x = 157,299.26

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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.