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Finding the Fourth Proportional to 209,424.98, 288,848.09 and 145,002.04

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Solution

The fourth proportional to 209,424.98, 288,848.09 and 145,002.04 is: 199,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,424.98 : 288,848.09 = 145,002.04 : x
  2. Step 2: Convert to fraction form
    209,424.98/288,848.09 = 145,002.04/x
  3. Step 3: Cross multiply
    209,424.98x = 288,848.09 × 145,002.04
  4. Step 4: Simplify right side
    209,424.98x = 41,883,562,300.10
  5. Step 5: Solve for x
    x = 41,883,562,300.10/209,424.98
  6. Step 6: Final answer
    x = 199,993.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.