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Finding the Fourth Proportional to 164,046, 226,318.68 and 103,594.08

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Solution

The fourth proportional to 164,046, 226,318.68 and 103,594.08 is: 142,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,046 : 226,318.68 = 103,594.08 : x
  2. Step 2: Convert to fraction form
    164,046/226,318.68 = 103,594.08/x
  3. Step 3: Cross multiply
    164,046x = 226,318.68 × 103,594.08
  4. Step 4: Simplify right side
    164,046x = 23,445,275,441.41
  5. Step 5: Solve for x
    x = 23,445,275,441.41/164,046
  6. Step 6: Final answer
    x = 142,918.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.