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Finding the Fourth Proportional to 233,258.70, 349,628.85 and 100,116.30

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Solution

The fourth proportional to 233,258.70, 349,628.85 and 100,116.30 is: 150,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,258.70 : 349,628.85 = 100,116.30 : x
  2. Step 2: Convert to fraction form
    233,258.70/349,628.85 = 100,116.30/x
  3. Step 3: Cross multiply
    233,258.70x = 349,628.85 × 100,116.30
  4. Step 4: Simplify right side
    233,258.70x = 35,003,546,835.26
  5. Step 5: Solve for x
    x = 35,003,546,835.26/233,258.70
  6. Step 6: Final answer
    x = 150,063.20

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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.