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Finding the Fourth Proportional to 210,953.42, 291,114.68 and 114,157.20

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Solution

The fourth proportional to 210,953.42, 291,114.68 and 114,157.20 is: 157,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,953.42 : 291,114.68 = 114,157.20 : x
  2. Step 2: Convert to fraction form
    210,953.42/291,114.68 = 114,157.20/x
  3. Step 3: Cross multiply
    210,953.42x = 291,114.68 × 114,157.20
  4. Step 4: Simplify right side
    210,953.42x = 33,232,836,176.91
  5. Step 5: Solve for x
    x = 33,232,836,176.91/210,953.42
  6. Step 6: Final answer
    x = 157,536.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.