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Finding the Fourth Proportional to 116,075.70, 174,317.76 and 114,413.58

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Solution

The fourth proportional to 116,075.70, 174,317.76 and 114,413.58 is: 171,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,075.70 : 174,317.76 = 114,413.58 : x
  2. Step 2: Convert to fraction form
    116,075.70/174,317.76 = 114,413.58/x
  3. Step 3: Cross multiply
    116,075.70x = 174,317.76 × 114,413.58
  4. Step 4: Simplify right side
    116,075.70x = 19,944,318,979.18
  5. Step 5: Solve for x
    x = 19,944,318,979.18/116,075.70
  6. Step 6: Final answer
    x = 171,821.66

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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.