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Finding the Fourth Proportional to 118,413.10, 177,619.65 and 105,510.70

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Solution

The fourth proportional to 118,413.10, 177,619.65 and 105,510.70 is: 158,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,413.10 : 177,619.65 = 105,510.70 : x
  2. Step 2: Convert to fraction form
    118,413.10/177,619.65 = 105,510.70/x
  3. Step 3: Cross multiply
    118,413.10x = 177,619.65 × 105,510.70
  4. Step 4: Simplify right side
    118,413.10x = 18,740,773,605.26
  5. Step 5: Solve for x
    x = 18,740,773,605.26/118,413.10
  6. Step 6: Final answer
    x = 158,266.05

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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.