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Finding the Fourth Proportional to 210,330.24, 290,255.36 and 114,836.48

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Solution

The fourth proportional to 210,330.24, 290,255.36 and 114,836.48 is: 158,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,330.24 : 290,255.36 = 114,836.48 : x
  2. Step 2: Convert to fraction form
    210,330.24/290,255.36 = 114,836.48/x
  3. Step 3: Cross multiply
    210,330.24x = 290,255.36 × 114,836.48
  4. Step 4: Simplify right side
    210,330.24x = 33,331,903,843.53
  5. Step 5: Solve for x
    x = 33,331,903,843.53/210,330.24
  6. Step 6: Final answer
    x = 158,474.14

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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.