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Finding the Fourth Proportional to 210,953.73, 291,116.91 and 114,157.58

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Solution

The fourth proportional to 210,953.73, 291,116.91 and 114,157.58 is: 157,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,953.73 : 291,116.91 = 114,157.58 : x
  2. Step 2: Convert to fraction form
    210,953.73/291,116.91 = 114,157.58/x
  3. Step 3: Cross multiply
    210,953.73x = 291,116.91 × 114,157.58
  4. Step 4: Simplify right side
    210,953.73x = 33,233,201,942.68
  5. Step 5: Solve for x
    x = 33,233,201,942.68/210,953.73
  6. Step 6: Final answer
    x = 157,537.87

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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.