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Finding the Fourth Proportional to 205,420.63, 283,478.52 and 114,792.21

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Solution

The fourth proportional to 205,420.63, 283,478.52 and 114,792.21 is: 158,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,420.63 : 283,478.52 = 114,792.21 : x
  2. Step 2: Convert to fraction form
    205,420.63/283,478.52 = 114,792.21/x
  3. Step 3: Cross multiply
    205,420.63x = 283,478.52 × 114,792.21
  4. Step 4: Simplify right side
    205,420.63x = 32,541,125,798.33
  5. Step 5: Solve for x
    x = 32,541,125,798.33/205,420.63
  6. Step 6: Final answer
    x = 158,412.16

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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.