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Finding the Fourth Proportional to 186,293.12, 257,044.64 and 110,826.88

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Solution

The fourth proportional to 186,293.12, 257,044.64 and 110,826.88 is: 152,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,293.12 : 257,044.64 = 110,826.88 : x
  2. Step 2: Convert to fraction form
    186,293.12/257,044.64 = 110,826.88/x
  3. Step 3: Cross multiply
    186,293.12x = 257,044.64 × 110,826.88
  4. Step 4: Simplify right side
    186,293.12x = 28,487,455,471.92
  5. Step 5: Solve for x
    x = 28,487,455,471.92/186,293.12
  6. Step 6: Final answer
    x = 152,917.38

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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.