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Finding the Fourth Proportional to 219,412.86, 329,130.57 and 61,653.62

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Solution

The fourth proportional to 219,412.86, 329,130.57 and 61,653.62 is: 92,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,412.86 : 329,130.57 = 61,653.62 : x
  2. Step 2: Convert to fraction form
    219,412.86/329,130.57 = 61,653.62/x
  3. Step 3: Cross multiply
    219,412.86x = 329,130.57 × 61,653.62
  4. Step 4: Simplify right side
    219,412.86x = 20,292,089,447.51
  5. Step 5: Solve for x
    x = 20,292,089,447.51/219,412.86
  6. Step 6: Final answer
    x = 92,483.59

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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.