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Finding the Fourth Proportional to 192,463.98, 288,597.39 and 102,557.93

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Solution

The fourth proportional to 192,463.98, 288,597.39 and 102,557.93 is: 153,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,463.98 : 288,597.39 = 102,557.93 : x
  2. Step 2: Convert to fraction form
    192,463.98/288,597.39 = 102,557.93/x
  3. Step 3: Cross multiply
    192,463.98x = 288,597.39 × 102,557.93
  4. Step 4: Simplify right side
    192,463.98x = 29,597,949,478.82
  5. Step 5: Solve for x
    x = 29,597,949,478.82/192,463.98
  6. Step 6: Final answer
    x = 153,784.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.