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Finding the Fourth Proportional to 264,293.80, 364,728.12 and 143,436.16

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Solution

The fourth proportional to 264,293.80, 364,728.12 and 143,436.16 is: 197,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,293.80 : 364,728.12 = 143,436.16 : x
  2. Step 2: Convert to fraction form
    264,293.80/364,728.12 = 143,436.16/x
  3. Step 3: Cross multiply
    264,293.80x = 364,728.12 × 143,436.16
  4. Step 4: Simplify right side
    264,293.80x = 52,315,200,976.82
  5. Step 5: Solve for x
    x = 52,315,200,976.82/264,293.80
  6. Step 6: Final answer
    x = 197,943.35

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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.