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Finding the Fourth Proportional to 101,413.14, 139,948.93 and 56,087.56

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Solution

The fourth proportional to 101,413.14, 139,948.93 and 56,087.56 is: 77,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.14 : 139,948.93 = 56,087.56 : x
  2. Step 2: Convert to fraction form
    101,413.14/139,948.93 = 56,087.56/x
  3. Step 3: Cross multiply
    101,413.14x = 139,948.93 × 56,087.56
  4. Step 4: Simplify right side
    101,413.14x = 7,849,394,008.31
  5. Step 5: Solve for x
    x = 7,849,394,008.31/101,413.14
  6. Step 6: Final answer
    x = 77,400.17

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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.