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Finding the Fourth Proportional to 256,197, 353,524.99 and 148,746.04

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Solution

The fourth proportional to 256,197, 353,524.99 and 148,746.04 is: 205,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,197 : 353,524.99 = 148,746.04 : x
  2. Step 2: Convert to fraction form
    256,197/353,524.99 = 148,746.04/x
  3. Step 3: Cross multiply
    256,197x = 353,524.99 × 148,746.04
  4. Step 4: Simplify right side
    256,197x = 52,585,442,303.54
  5. Step 5: Solve for x
    x = 52,585,442,303.54/256,197
  6. Step 6: Final answer
    x = 205,253.93

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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.