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Finding the Fourth Proportional to 209,413.74, 288,925.70 and 118,762.58

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Solution

The fourth proportional to 209,413.74, 288,925.70 and 118,762.58 is: 163,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,413.74 : 288,925.70 = 118,762.58 : x
  2. Step 2: Convert to fraction form
    209,413.74/288,925.70 = 118,762.58/x
  3. Step 3: Cross multiply
    209,413.74x = 288,925.70 × 118,762.58
  4. Step 4: Simplify right side
    209,413.74x = 34,313,561,560.31
  5. Step 5: Solve for x
    x = 34,313,561,560.31/209,413.74
  6. Step 6: Final answer
    x = 163,855.35

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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.