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Finding the Fourth Proportional to 205,110.40, 307,665.60 and 86,742.40

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Solution

The fourth proportional to 205,110.40, 307,665.60 and 86,742.40 is: 130,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,110.40 : 307,665.60 = 86,742.40 : x
  2. Step 2: Convert to fraction form
    205,110.40/307,665.60 = 86,742.40/x
  3. Step 3: Cross multiply
    205,110.40x = 307,665.60 × 86,742.40
  4. Step 4: Simplify right side
    205,110.40x = 26,687,652,541.44
  5. Step 5: Solve for x
    x = 26,687,652,541.44/205,110.40
  6. Step 6: Final answer
    x = 130,113.60

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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.