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Finding the Fourth Proportional to 257,416.68, 355,408.02 and 160,767.48

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Solution

The fourth proportional to 257,416.68, 355,408.02 and 160,767.48 is: 221,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,416.68 : 355,408.02 = 160,767.48 : x
  2. Step 2: Convert to fraction form
    257,416.68/355,408.02 = 160,767.48/x
  3. Step 3: Cross multiply
    257,416.68x = 355,408.02 × 160,767.48
  4. Step 4: Simplify right side
    257,416.68x = 57,138,051,747.19
  5. Step 5: Solve for x
    x = 57,138,051,747.19/257,416.68
  6. Step 6: Final answer
    x = 221,967.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.