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Finding the Fourth Proportional to 291,206.97, 436,810.14 and 91,544.81

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Solution

The fourth proportional to 291,206.97, 436,810.14 and 91,544.81 is: 137,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,206.97 : 436,810.14 = 91,544.81 : x
  2. Step 2: Convert to fraction form
    291,206.97/436,810.14 = 91,544.81/x
  3. Step 3: Cross multiply
    291,206.97x = 436,810.14 × 91,544.81
  4. Step 4: Simplify right side
    291,206.97x = 39,987,699,088.32
  5. Step 5: Solve for x
    x = 39,987,699,088.32/291,206.97
  6. Step 6: Final answer
    x = 137,317.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.