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Finding the Fourth Proportional to 109,448.60, 164,051.40 and 42,866.60

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Solution

The fourth proportional to 109,448.60, 164,051.40 and 42,866.60 is: 64,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,448.60 : 164,051.40 = 42,866.60 : x
  2. Step 2: Convert to fraction form
    109,448.60/164,051.40 = 42,866.60/x
  3. Step 3: Cross multiply
    109,448.60x = 164,051.40 × 42,866.60
  4. Step 4: Simplify right side
    109,448.60x = 7,032,325,743.24
  5. Step 5: Solve for x
    x = 7,032,325,743.24/109,448.60
  6. Step 6: Final answer
    x = 64,252.31

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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.