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Finding the Fourth Proportional to 223,051.41, 307,802.60 and 121,074.68

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Solution

The fourth proportional to 223,051.41, 307,802.60 and 121,074.68 is: 167,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,051.41 : 307,802.60 = 121,074.68 : x
  2. Step 2: Convert to fraction form
    223,051.41/307,802.60 = 121,074.68/x
  3. Step 3: Cross multiply
    223,051.41x = 307,802.60 × 121,074.68
  4. Step 4: Simplify right side
    223,051.41x = 37,267,099,607.81
  5. Step 5: Solve for x
    x = 37,267,099,607.81/223,051.41
  6. Step 6: Final answer
    x = 167,078.52

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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.