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Finding the Fourth Proportional to 211,083.68, 291,295.02 and 114,287.06

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Solution

The fourth proportional to 211,083.68, 291,295.02 and 114,287.06 is: 157,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,083.68 : 291,295.02 = 114,287.06 : x
  2. Step 2: Convert to fraction form
    211,083.68/291,295.02 = 114,287.06/x
  3. Step 3: Cross multiply
    211,083.68x = 291,295.02 × 114,287.06
  4. Step 4: Simplify right side
    211,083.68x = 33,291,249,971.97
  5. Step 5: Solve for x
    x = 33,291,249,971.97/211,083.68
  6. Step 6: Final answer
    x = 157,715.89

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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.