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Finding the Fourth Proportional to 196,970.94, 295,413.21 and 56,699.10

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Solution

The fourth proportional to 196,970.94, 295,413.21 and 56,699.10 is: 85,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,970.94 : 295,413.21 = 56,699.10 : x
  2. Step 2: Convert to fraction form
    196,970.94/295,413.21 = 56,699.10/x
  3. Step 3: Cross multiply
    196,970.94x = 295,413.21 × 56,699.10
  4. Step 4: Simplify right side
    196,970.94x = 16,749,663,135.11
  5. Step 5: Solve for x
    x = 16,749,663,135.11/196,970.94
  6. Step 6: Final answer
    x = 85,036.21

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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.