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Finding the Fourth Proportional to 186,155, 256,874.46 and 105,556.76

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Solution

The fourth proportional to 186,155, 256,874.46 and 105,556.76 is: 145,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,155 : 256,874.46 = 105,556.76 : x
  2. Step 2: Convert to fraction form
    186,155/256,874.46 = 105,556.76/x
  3. Step 3: Cross multiply
    186,155x = 256,874.46 × 105,556.76
  4. Step 4: Simplify right side
    186,155x = 27,114,835,724.35
  5. Step 5: Solve for x
    x = 27,114,835,724.35/186,155
  6. Step 6: Final answer
    x = 145,657.31

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1.5x scale

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.