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Finding the Fourth Proportional to 291,986, 402,941.64 and 157,850.96

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Solution

The fourth proportional to 291,986, 402,941.64 and 157,850.96 is: 217,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,986 : 402,941.64 = 157,850.96 : x
  2. Step 2: Convert to fraction form
    291,986/402,941.64 = 157,850.96/x
  3. Step 3: Cross multiply
    291,986x = 402,941.64 × 157,850.96
  4. Step 4: Simplify right side
    291,986x = 63,604,724,697.97
  5. Step 5: Solve for x
    x = 63,604,724,697.97/291,986
  6. Step 6: Final answer
    x = 217,834.84

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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.