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Finding the Fourth Proportional to 291,916.36, 402,845.16 and 157,780.36

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Solution

The fourth proportional to 291,916.36, 402,845.16 and 157,780.36 is: 217,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,916.36 : 402,845.16 = 157,780.36 : x
  2. Step 2: Convert to fraction form
    291,916.36/402,845.16 = 157,780.36/x
  3. Step 3: Cross multiply
    291,916.36x = 402,845.16 × 157,780.36
  4. Step 4: Simplify right side
    291,916.36x = 63,561,054,369.06
  5. Step 5: Solve for x
    x = 63,561,054,369.06/291,916.36
  6. Step 6: Final answer
    x = 217,737.21

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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.