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Finding the Fourth Proportional to 227,954.40, 341,931.60 and 61,742.40

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Solution

The fourth proportional to 227,954.40, 341,931.60 and 61,742.40 is: 92,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,954.40 : 341,931.60 = 61,742.40 : x
  2. Step 2: Convert to fraction form
    227,954.40/341,931.60 = 61,742.40/x
  3. Step 3: Cross multiply
    227,954.40x = 341,931.60 × 61,742.40
  4. Step 4: Simplify right side
    227,954.40x = 21,111,677,619.84
  5. Step 5: Solve for x
    x = 21,111,677,619.84/227,954.40
  6. Step 6: Final answer
    x = 92,613.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.