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Finding the Fourth Proportional to 233,031, 348,794.64 and 120,556.32

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Solution

The fourth proportional to 233,031, 348,794.64 and 120,556.32 is: 180,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,031 : 348,794.64 = 120,556.32 : x
  2. Step 2: Convert to fraction form
    233,031/348,794.64 = 120,556.32/x
  3. Step 3: Cross multiply
    233,031x = 348,794.64 × 120,556.32
  4. Step 4: Simplify right side
    233,031x = 42,049,398,234.12
  5. Step 5: Solve for x
    x = 42,049,398,234.12/233,031
  6. Step 6: Final answer
    x = 180,445.51

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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.