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Finding the Fourth Proportional to 186,846.66, 257,856.79 and 105,203.02

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Solution

The fourth proportional to 186,846.66, 257,856.79 and 105,203.02 is: 145,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,846.66 : 257,856.79 = 105,203.02 : x
  2. Step 2: Convert to fraction form
    186,846.66/257,856.79 = 105,203.02/x
  3. Step 3: Cross multiply
    186,846.66x = 257,856.79 × 105,203.02
  4. Step 4: Simplify right side
    186,846.66x = 27,127,313,035.51
  5. Step 5: Solve for x
    x = 27,127,313,035.51/186,846.66
  6. Step 6: Final answer
    x = 145,184.90

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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.