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Finding the Fourth Proportional to 265,734.50, 366,728.20 and 152,564.54

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Solution

The fourth proportional to 265,734.50, 366,728.20 and 152,564.54 is: 210,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734.50 : 366,728.20 = 152,564.54 : x
  2. Step 2: Convert to fraction form
    265,734.50/366,728.20 = 152,564.54/x
  3. Step 3: Cross multiply
    265,734.50x = 366,728.20 × 152,564.54
  4. Step 4: Simplify right side
    265,734.50x = 55,949,719,138.03
  5. Step 5: Solve for x
    x = 55,949,719,138.03/265,734.50
  6. Step 6: Final answer
    x = 210,547.44

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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.