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Finding the Fourth Proportional to 210,117, 289,961.46 and 114,624.08

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Solution

The fourth proportional to 210,117, 289,961.46 and 114,624.08 is: 158,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,117 : 289,961.46 = 114,624.08 : x
  2. Step 2: Convert to fraction form
    210,117/289,961.46 = 114,624.08/x
  3. Step 3: Cross multiply
    210,117x = 289,961.46 × 114,624.08
  4. Step 4: Simplify right side
    210,117x = 33,236,565,587.96
  5. Step 5: Solve for x
    x = 33,236,565,587.96/210,117
  6. Step 6: Final answer
    x = 158,181.23

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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.