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Finding the Fourth Proportional to 213,830.40, 320,054.40 and 166,828.80

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Solution

The fourth proportional to 213,830.40, 320,054.40 and 166,828.80 is: 249,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,830.40 : 320,054.40 = 166,828.80 : x
  2. Step 2: Convert to fraction form
    213,830.40/320,054.40 = 166,828.80/x
  3. Step 3: Cross multiply
    213,830.40x = 320,054.40 × 166,828.80
  4. Step 4: Simplify right side
    213,830.40x = 53,394,291,486.72
  5. Step 5: Solve for x
    x = 53,394,291,486.72/213,830.40
  6. Step 6: Final answer
    x = 249,703.93

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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.