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Finding the Fourth Proportional to 104,157, 156,678.98 and 94,413.93

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Solution

The fourth proportional to 104,157, 156,678.98 and 94,413.93 is: 142,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,157 : 156,678.98 = 94,413.93 : x
  2. Step 2: Convert to fraction form
    104,157/156,678.98 = 94,413.93/x
  3. Step 3: Cross multiply
    104,157x = 156,678.98 × 94,413.93
  4. Step 4: Simplify right side
    104,157x = 14,792,678,250.19
  5. Step 5: Solve for x
    x = 14,792,678,250.19/104,157
  6. Step 6: Final answer
    x = 142,022.89

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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.