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Finding the Fourth Proportional to 259,354.68, 357,919.47 and 146,175

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Solution

The fourth proportional to 259,354.68, 357,919.47 and 146,175 is: 201,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,354.68 : 357,919.47 = 146,175 : x
  2. Step 2: Convert to fraction form
    259,354.68/357,919.47 = 146,175/x
  3. Step 3: Cross multiply
    259,354.68x = 357,919.47 × 146,175
  4. Step 4: Simplify right side
    259,354.68x = 52,318,878,527.25
  5. Step 5: Solve for x
    x = 52,318,878,527.25/259,354.68
  6. Step 6: Final answer
    x = 201,727.14

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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.