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Finding the Fourth Proportional to 259,057.64, 357,459.94 and 145,877.48

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Solution

The fourth proportional to 259,057.64, 357,459.94 and 145,877.48 is: 201,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,057.64 : 357,459.94 = 145,877.48 : x
  2. Step 2: Convert to fraction form
    259,057.64/357,459.94 = 145,877.48/x
  3. Step 3: Cross multiply
    259,057.64x = 357,459.94 × 145,877.48
  4. Step 4: Simplify right side
    259,057.64x = 52,145,355,248.15
  5. Step 5: Solve for x
    x = 52,145,355,248.15/259,057.64
  6. Step 6: Final answer
    x = 201,288.62

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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.