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Finding the Fourth Proportional to 213,657.84, 320,504.94 and 55,886.04

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Solution

The fourth proportional to 213,657.84, 320,504.94 and 55,886.04 is: 83,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,657.84 : 320,504.94 = 55,886.04 : x
  2. Step 2: Convert to fraction form
    213,657.84/320,504.94 = 55,886.04/x
  3. Step 3: Cross multiply
    213,657.84x = 320,504.94 × 55,886.04
  4. Step 4: Simplify right side
    213,657.84x = 17,911,751,897.04
  5. Step 5: Solve for x
    x = 17,911,751,897.04/213,657.84
  6. Step 6: Final answer
    x = 83,833.82

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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.