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Finding the Fourth Proportional to 301,078.22, 415,506.31 and 173,762.01

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Solution

The fourth proportional to 301,078.22, 415,506.31 and 173,762.01 is: 239,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,078.22 : 415,506.31 = 173,762.01 : x
  2. Step 2: Convert to fraction form
    301,078.22/415,506.31 = 173,762.01/x
  3. Step 3: Cross multiply
    301,078.22x = 415,506.31 × 173,762.01
  4. Step 4: Simplify right side
    301,078.22x = 72,199,211,158.88
  5. Step 5: Solve for x
    x = 72,199,211,158.88/301,078.22
  6. Step 6: Final answer
    x = 239,802.18

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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.