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Finding the Fourth Proportional to 265,880.50, 366,915.12 and 146,648.50

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Solution

The fourth proportional to 265,880.50, 366,915.12 and 146,648.50 is: 202,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,880.50 : 366,915.12 = 146,648.50 : x
  2. Step 2: Convert to fraction form
    265,880.50/366,915.12 = 146,648.50/x
  3. Step 3: Cross multiply
    265,880.50x = 366,915.12 × 146,648.50
  4. Step 4: Simplify right side
    265,880.50x = 53,807,551,975.32
  5. Step 5: Solve for x
    x = 53,807,551,975.32/265,880.50
  6. Step 6: Final answer
    x = 202,374.95

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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.