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Finding the Fourth Proportional to 228,181.29, 314,955.91 and 160,214.79

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Solution

The fourth proportional to 228,181.29, 314,955.91 and 160,214.79 is: 221,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,181.29 : 314,955.91 = 160,214.79 : x
  2. Step 2: Convert to fraction form
    228,181.29/314,955.91 = 160,214.79/x
  3. Step 3: Cross multiply
    228,181.29x = 314,955.91 × 160,214.79
  4. Step 4: Simplify right side
    228,181.29x = 50,460,596,361.26
  5. Step 5: Solve for x
    x = 50,460,596,361.26/228,181.29
  6. Step 6: Final answer
    x = 221,142.57

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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.