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Finding the Fourth Proportional to 208,762.98, 288,091.24 and 118,118.17

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Solution

The fourth proportional to 208,762.98, 288,091.24 and 118,118.17 is: 163,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,762.98 : 288,091.24 = 118,118.17 : x
  2. Step 2: Convert to fraction form
    208,762.98/288,091.24 = 118,118.17/x
  3. Step 3: Cross multiply
    208,762.98x = 288,091.24 × 118,118.17
  4. Step 4: Simplify right side
    208,762.98x = 34,028,810,061.83
  5. Step 5: Solve for x
    x = 34,028,810,061.83/208,762.98
  6. Step 6: Final answer
    x = 163,002.13

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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.