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Finding the Fourth Proportional to 263,364.88, 363,442.53 and 142,506.40

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Solution

The fourth proportional to 263,364.88, 363,442.53 and 142,506.40 is: 196,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,364.88 : 363,442.53 = 142,506.40 : x
  2. Step 2: Convert to fraction form
    263,364.88/363,442.53 = 142,506.40/x
  3. Step 3: Cross multiply
    263,364.88x = 363,442.53 × 142,506.40
  4. Step 4: Simplify right side
    263,364.88x = 51,792,886,557.19
  5. Step 5: Solve for x
    x = 51,792,886,557.19/263,364.88
  6. Step 6: Final answer
    x = 196,658.29

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1.5x scale

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.