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Finding the Fourth Proportional to 110,477.16, 152,413.02 and 76,962.60

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Solution

The fourth proportional to 110,477.16, 152,413.02 and 76,962.60 is: 106,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,477.16 : 152,413.02 = 76,962.60 : x
  2. Step 2: Convert to fraction form
    110,477.16/152,413.02 = 76,962.60/x
  3. Step 3: Cross multiply
    110,477.16x = 152,413.02 × 76,962.60
  4. Step 4: Simplify right side
    110,477.16x = 11,730,102,293.05
  5. Step 5: Solve for x
    x = 11,730,102,293.05/110,477.16
  6. Step 6: Final answer
    x = 106,176.72

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Why These Related Problems?

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