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Finding the Fourth Proportional to 186,563.59, 257,464.71 and 106,004.77

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Solution

The fourth proportional to 186,563.59, 257,464.71 and 106,004.77 is: 146,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563.59 : 257,464.71 = 106,004.77 : x
  2. Step 2: Convert to fraction form
    186,563.59/257,464.71 = 106,004.77/x
  3. Step 3: Cross multiply
    186,563.59x = 257,464.71 × 106,004.77
  4. Step 4: Simplify right side
    186,563.59x = 27,292,487,366.67
  5. Step 5: Solve for x
    x = 27,292,487,366.67/186,563.59
  6. Step 6: Final answer
    x = 146,290.53

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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.