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Finding the Fourth Proportional to 210,223.44, 290,114.58 and 114,736.32

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Solution

The fourth proportional to 210,223.44, 290,114.58 and 114,736.32 is: 158,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,223.44 : 290,114.58 = 114,736.32 : x
  2. Step 2: Convert to fraction form
    210,223.44/290,114.58 = 114,736.32/x
  3. Step 3: Cross multiply
    210,223.44x = 290,114.58 × 114,736.32
  4. Step 4: Simplify right side
    210,223.44x = 33,286,679,287.55
  5. Step 5: Solve for x
    x = 33,286,679,287.55/210,223.44
  6. Step 6: Final answer
    x = 158,339.52

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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.