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Finding the Fourth Proportional to 210,108.24, 289,924.92 and 119,474.64

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Solution

The fourth proportional to 210,108.24, 289,924.92 and 119,474.64 is: 164,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,108.24 : 289,924.92 = 119,474.64 : x
  2. Step 2: Convert to fraction form
    210,108.24/289,924.92 = 119,474.64/x
  3. Step 3: Cross multiply
    210,108.24x = 289,924.92 × 119,474.64
  4. Step 4: Simplify right side
    210,108.24x = 34,638,675,444.03
  5. Step 5: Solve for x
    x = 34,638,675,444.03/210,108.24
  6. Step 6: Final answer
    x = 164,861.10

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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.