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Finding the Fourth Proportional to 211,371.84, 291,711.54 and 115,897.14

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Solution

The fourth proportional to 211,371.84, 291,711.54 and 115,897.14 is: 159,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,371.84 : 291,711.54 = 115,897.14 : x
  2. Step 2: Convert to fraction form
    211,371.84/291,711.54 = 115,897.14/x
  3. Step 3: Cross multiply
    211,371.84x = 291,711.54 × 115,897.14
  4. Step 4: Simplify right side
    211,371.84x = 33,808,533,191.00
  5. Step 5: Solve for x
    x = 33,808,533,191.00/211,371.84
  6. Step 6: Final answer
    x = 159,948.14

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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.