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Finding the Fourth Proportional to 291,863.25, 402,771.69 and 157,727.25

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Solution

The fourth proportional to 291,863.25, 402,771.69 and 157,727.25 is: 217,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,863.25 : 402,771.69 = 157,727.25 : x
  2. Step 2: Convert to fraction form
    291,863.25/402,771.69 = 157,727.25/x
  3. Step 3: Cross multiply
    291,863.25x = 402,771.69 × 157,727.25
  4. Step 4: Simplify right side
    291,863.25x = 63,528,071,041.55
  5. Step 5: Solve for x
    x = 63,528,071,041.55/291,863.25
  6. Step 6: Final answer
    x = 217,663.82

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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.