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Finding the Fourth Proportional to 144,512.68, 199,467.56 and 84,095

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Solution

The fourth proportional to 144,512.68, 199,467.56 and 84,095 is: 116,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,512.68 : 199,467.56 = 84,095 : x
  2. Step 2: Convert to fraction form
    144,512.68/199,467.56 = 84,095/x
  3. Step 3: Cross multiply
    144,512.68x = 199,467.56 × 84,095
  4. Step 4: Simplify right side
    144,512.68x = 16,774,224,458.20
  5. Step 5: Solve for x
    x = 16,774,224,458.20/144,512.68
  6. Step 6: Final answer
    x = 116,074.41

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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.