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Finding the Fourth Proportional to 151,213, 226,852.28 and 46,029.22

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Solution

The fourth proportional to 151,213, 226,852.28 and 46,029.22 is: 69,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,213 : 226,852.28 = 46,029.22 : x
  2. Step 2: Convert to fraction form
    151,213/226,852.28 = 46,029.22/x
  3. Step 3: Cross multiply
    151,213x = 226,852.28 × 46,029.22
  4. Step 4: Simplify right side
    151,213x = 10,441,833,503.62
  5. Step 5: Solve for x
    x = 10,441,833,503.62/151,213
  6. Step 6: Final answer
    x = 69,053.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.