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Finding the Fourth Proportional to 302,903.26, 417,987.74 and 166,929.64

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Solution

The fourth proportional to 302,903.26, 417,987.74 and 166,929.64 is: 230,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,903.26 : 417,987.74 = 166,929.64 : x
  2. Step 2: Convert to fraction form
    302,903.26/417,987.74 = 166,929.64/x
  3. Step 3: Cross multiply
    302,903.26x = 417,987.74 × 166,929.64
  4. Step 4: Simplify right side
    302,903.26x = 69,774,542,962.61
  5. Step 5: Solve for x
    x = 69,774,542,962.61/302,903.26
  6. Step 6: Final answer
    x = 230,352.57

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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.