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Finding the Fourth Proportional to 160,284.12, 240,448.05 and 66,768

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Solution

The fourth proportional to 160,284.12, 240,448.05 and 66,768 is: 100,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,284.12 : 240,448.05 = 66,768 : x
  2. Step 2: Convert to fraction form
    160,284.12/240,448.05 = 66,768/x
  3. Step 3: Cross multiply
    160,284.12x = 240,448.05 × 66,768
  4. Step 4: Simplify right side
    160,284.12x = 16,054,235,402.40
  5. Step 5: Solve for x
    x = 16,054,235,402.40/160,284.12
  6. Step 6: Final answer
    x = 100,161.11

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