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Finding the Fourth Proportional to 102,192.42, 154,248.44 and 102,192.42

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Solution

The fourth proportional to 102,192.42, 154,248.44 and 102,192.42 is: 154,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,192.42 : 154,248.44 = 102,192.42 : x
  2. Step 2: Convert to fraction form
    102,192.42/154,248.44 = 102,192.42/x
  3. Step 3: Cross multiply
    102,192.42x = 154,248.44 × 102,192.42
  4. Step 4: Simplify right side
    102,192.42x = 15,763,020,853.86
  5. Step 5: Solve for x
    x = 15,763,020,853.86/102,192.42
  6. Step 6: Final answer
    x = 154,248.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.