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Finding the Fourth Proportional to 186,563.58, 257,196.85 and 157,767.54

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Solution

The fourth proportional to 186,563.58, 257,196.85 and 157,767.54 is: 217,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563.58 : 257,196.85 = 157,767.54 : x
  2. Step 2: Convert to fraction form
    186,563.58/257,196.85 = 157,767.54/x
  3. Step 3: Cross multiply
    186,563.58x = 257,196.85 × 157,767.54
  4. Step 4: Simplify right side
    186,563.58x = 40,577,314,320.25
  5. Step 5: Solve for x
    x = 40,577,314,320.25/186,563.58
  6. Step 6: Final answer
    x = 217,498.58

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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.