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Finding the Fourth Proportional to 263,670.88, 363,862.92 and 142,809.16

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Solution

The fourth proportional to 263,670.88, 363,862.92 and 142,809.16 is: 197,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,670.88 : 363,862.92 = 142,809.16 : x
  2. Step 2: Convert to fraction form
    263,670.88/363,862.92 = 142,809.16/x
  3. Step 3: Cross multiply
    263,670.88x = 363,862.92 × 142,809.16
  4. Step 4: Simplify right side
    263,670.88x = 51,962,957,960.35
  5. Step 5: Solve for x
    x = 51,962,957,960.35/263,670.88
  6. Step 6: Final answer
    x = 197,075.07

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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.