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Finding the Fourth Proportional to 265,792.50, 366,793.65 and 146,560.50

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Solution

The fourth proportional to 265,792.50, 366,793.65 and 146,560.50 is: 202,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,792.50 : 366,793.65 = 146,560.50 : x
  2. Step 2: Convert to fraction form
    265,792.50/366,793.65 = 146,560.50/x
  3. Step 3: Cross multiply
    265,792.50x = 366,793.65 × 146,560.50
  4. Step 4: Simplify right side
    265,792.50x = 53,757,460,740.83
  5. Step 5: Solve for x
    x = 53,757,460,740.83/265,792.50
  6. Step 6: Final answer
    x = 202,253.49

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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.