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Finding the Fourth Proportional to 119,123.66, 164,392.52 and 65,413.50

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Solution

The fourth proportional to 119,123.66, 164,392.52 and 65,413.50 is: 90,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,123.66 : 164,392.52 = 65,413.50 : x
  2. Step 2: Convert to fraction form
    119,123.66/164,392.52 = 65,413.50/x
  3. Step 3: Cross multiply
    119,123.66x = 164,392.52 × 65,413.50
  4. Step 4: Simplify right side
    119,123.66x = 10,753,489,779.95
  5. Step 5: Solve for x
    x = 10,753,489,779.95/119,123.66
  6. Step 6: Final answer
    x = 90,271.66

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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.