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Finding the Fourth Proportional to 186,641.82, 257,483.81 and 126,190.51

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Solution

The fourth proportional to 186,641.82, 257,483.81 and 126,190.51 is: 174,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,641.82 : 257,483.81 = 126,190.51 : x
  2. Step 2: Convert to fraction form
    186,641.82/257,483.81 = 126,190.51/x
  3. Step 3: Cross multiply
    186,641.82x = 257,483.81 × 126,190.51
  4. Step 4: Simplify right side
    186,641.82x = 32,492,012,972.41
  5. Step 5: Solve for x
    x = 32,492,012,972.41/186,641.82
  6. Step 6: Final answer
    x = 174,087.53

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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.