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Finding the Fourth Proportional to 259,176.54, 357,662.07 and 146,035.74

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Solution

The fourth proportional to 259,176.54, 357,662.07 and 146,035.74 is: 201,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,176.54 : 357,662.07 = 146,035.74 : x
  2. Step 2: Convert to fraction form
    259,176.54/357,662.07 = 146,035.74/x
  3. Step 3: Cross multiply
    259,176.54x = 357,662.07 × 146,035.74
  4. Step 4: Simplify right side
    259,176.54x = 52,231,445,062.38
  5. Step 5: Solve for x
    x = 52,231,445,062.38/259,176.54
  6. Step 6: Final answer
    x = 201,528.44

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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.