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Finding the Fourth Proportional to 228,071.84, 342,163.55 and 160,735.25

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Solution

The fourth proportional to 228,071.84, 342,163.55 and 160,735.25 is: 241,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,071.84 : 342,163.55 = 160,735.25 : x
  2. Step 2: Convert to fraction form
    228,071.84/342,163.55 = 160,735.25/x
  3. Step 3: Cross multiply
    228,071.84x = 342,163.55 × 160,735.25
  4. Step 4: Simplify right side
    228,071.84x = 54,997,742,946.46
  5. Step 5: Solve for x
    x = 54,997,742,946.46/228,071.84
  6. Step 6: Final answer
    x = 241,142.20

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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.