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Finding the Fourth Proportional to 186,186, 256,917.24 and 105,587.76

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Solution

The fourth proportional to 186,186, 256,917.24 and 105,587.76 is: 145,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,186 : 256,917.24 = 105,587.76 : x
  2. Step 2: Convert to fraction form
    186,186/256,917.24 = 105,587.76/x
  3. Step 3: Cross multiply
    186,186x = 256,917.24 × 105,587.76
  4. Step 4: Simplify right side
    186,186x = 27,127,315,876.98
  5. Step 5: Solve for x
    x = 27,127,315,876.98/186,186
  6. Step 6: Final answer
    x = 145,700.08

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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.