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Finding the Fourth Proportional to 281,357.48, 422,099.42 and 94,364.20

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Solution

The fourth proportional to 281,357.48, 422,099.42 and 94,364.20 is: 141,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,357.48 : 422,099.42 = 94,364.20 : x
  2. Step 2: Convert to fraction form
    281,357.48/422,099.42 = 94,364.20/x
  3. Step 3: Cross multiply
    281,357.48x = 422,099.42 × 94,364.20
  4. Step 4: Simplify right side
    281,357.48x = 39,831,074,088.76
  5. Step 5: Solve for x
    x = 39,831,074,088.76/281,357.48
  6. Step 6: Final answer
    x = 141,567.50

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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.