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Finding the Fourth Proportional to 186,413.68, 257,250.83 and 101,530.74

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Solution

The fourth proportional to 186,413.68, 257,250.83 and 101,530.74 is: 140,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,413.68 : 257,250.83 = 101,530.74 : x
  2. Step 2: Convert to fraction form
    186,413.68/257,250.83 = 101,530.74/x
  3. Step 3: Cross multiply
    186,413.68x = 257,250.83 × 101,530.74
  4. Step 4: Simplify right side
    186,413.68x = 26,118,867,135.51
  5. Step 5: Solve for x
    x = 26,118,867,135.51/186,413.68
  6. Step 6: Final answer
    x = 140,112.39

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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.