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Finding the Fourth Proportional to 153,524.68, 230,006.42 and 111,300.06

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Solution

The fourth proportional to 153,524.68, 230,006.42 and 111,300.06 is: 166,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,524.68 : 230,006.42 = 111,300.06 : x
  2. Step 2: Convert to fraction form
    153,524.68/230,006.42 = 111,300.06/x
  3. Step 3: Cross multiply
    153,524.68x = 230,006.42 × 111,300.06
  4. Step 4: Simplify right side
    153,524.68x = 25,599,728,346.39
  5. Step 5: Solve for x
    x = 25,599,728,346.39/153,524.68
  6. Step 6: Final answer
    x = 166,746.66

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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.