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Finding the Fourth Proportional to 114,310.85, 157,746.90 and 63,323.42

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Solution

The fourth proportional to 114,310.85, 157,746.90 and 63,323.42 is: 87,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,310.85 : 157,746.90 = 63,323.42 : x
  2. Step 2: Convert to fraction form
    114,310.85/157,746.90 = 63,323.42/x
  3. Step 3: Cross multiply
    114,310.85x = 157,746.90 × 63,323.42
  4. Step 4: Simplify right side
    114,310.85x = 9,989,072,413.66
  5. Step 5: Solve for x
    x = 9,989,072,413.66/114,310.85
  6. Step 6: Final answer
    x = 87,385.17

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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.