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Finding the Fourth Proportional to 302,116, 416,920.80 and 168,005.92

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Solution

The fourth proportional to 302,116, 416,920.80 and 168,005.92 is: 231,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,116 : 416,920.80 = 168,005.92 : x
  2. Step 2: Convert to fraction form
    302,116/416,920.80 = 168,005.92/x
  3. Step 3: Cross multiply
    302,116x = 416,920.80 × 168,005.92
  4. Step 4: Simplify right side
    302,116x = 70,045,162,571.14
  5. Step 5: Solve for x
    x = 70,045,162,571.14/302,116
  6. Step 6: Final answer
    x = 231,848.57

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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.