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Finding the Fourth Proportional to 291,989.75, 402,946.26 and 157,853.75

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Solution

The fourth proportional to 291,989.75, 402,946.26 and 157,853.75 is: 217,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,989.75 : 402,946.26 = 157,853.75 : x
  2. Step 2: Convert to fraction form
    291,989.75/402,946.26 = 157,853.75/x
  3. Step 3: Cross multiply
    291,989.75x = 402,946.26 × 157,853.75
  4. Step 4: Simplify right side
    291,989.75x = 63,606,578,189.48
  5. Step 5: Solve for x
    x = 63,606,578,189.48/291,989.75
  6. Step 6: Final answer
    x = 217,838.39

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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.