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Finding the Fourth Proportional to 201,389.34, 277,916.89 and 115,376.17

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Solution

The fourth proportional to 201,389.34, 277,916.89 and 115,376.17 is: 159,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,389.34 : 277,916.89 = 115,376.17 : x
  2. Step 2: Convert to fraction form
    201,389.34/277,916.89 = 115,376.17/x
  3. Step 3: Cross multiply
    201,389.34x = 277,916.89 × 115,376.17
  4. Step 4: Simplify right side
    201,389.34x = 32,064,986,346.51
  5. Step 5: Solve for x
    x = 32,064,986,346.51/201,389.34
  6. Step 6: Final answer
    x = 159,218.89

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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.