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Finding the Fourth Proportional to 164,554.86, 246,841.86 and 46,235.42

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Solution

The fourth proportional to 164,554.86, 246,841.86 and 46,235.42 is: 69,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,554.86 : 246,841.86 = 46,235.42 : x
  2. Step 2: Convert to fraction form
    164,554.86/246,841.86 = 46,235.42/x
  3. Step 3: Cross multiply
    164,554.86x = 246,841.86 × 46,235.42
  4. Step 4: Simplify right side
    164,554.86x = 11,412,837,070.68
  5. Step 5: Solve for x
    x = 11,412,837,070.68/164,554.86
  6. Step 6: Final answer
    x = 69,355.82

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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.