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Finding the Fourth Proportional to 114,241.64, 157,710.66 and 71,823.56

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Solution

The fourth proportional to 114,241.64, 157,710.66 and 71,823.56 is: 99,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,241.64 : 157,710.66 = 71,823.56 : x
  2. Step 2: Convert to fraction form
    114,241.64/157,710.66 = 71,823.56/x
  3. Step 3: Cross multiply
    114,241.64x = 157,710.66 × 71,823.56
  4. Step 4: Simplify right side
    114,241.64x = 11,327,341,051.15
  5. Step 5: Solve for x
    x = 11,327,341,051.15/114,241.64
  6. Step 6: Final answer
    x = 99,152.47

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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.