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Finding the Fourth Proportional to 153,012.12, 211,097.52 and 112,821

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Solution

The fourth proportional to 153,012.12, 211,097.52 and 112,821 is: 155,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,012.12 : 211,097.52 = 112,821 : x
  2. Step 2: Convert to fraction form
    153,012.12/211,097.52 = 112,821/x
  3. Step 3: Cross multiply
    153,012.12x = 211,097.52 × 112,821
  4. Step 4: Simplify right side
    153,012.12x = 23,816,233,303.92
  5. Step 5: Solve for x
    x = 23,816,233,303.92/153,012.12
  6. Step 6: Final answer
    x = 155,649.33

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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.