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Finding the Fourth Proportional to 211,513.84, 291,907.50 and 116,038.96

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Solution

The fourth proportional to 211,513.84, 291,907.50 and 116,038.96 is: 160,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,513.84 : 291,907.50 = 116,038.96 : x
  2. Step 2: Convert to fraction form
    211,513.84/291,907.50 = 116,038.96/x
  3. Step 3: Cross multiply
    211,513.84x = 291,907.50 × 116,038.96
  4. Step 4: Simplify right side
    211,513.84x = 33,872,642,716.20
  5. Step 5: Solve for x
    x = 33,872,642,716.20/211,513.84
  6. Step 6: Final answer
    x = 160,143.86

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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.