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Finding the Fourth Proportional to 128,413.93, 192,494.52 and 75,038.17

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Solution

The fourth proportional to 128,413.93, 192,494.52 and 75,038.17 is: 112,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,413.93 : 192,494.52 = 75,038.17 : x
  2. Step 2: Convert to fraction form
    128,413.93/192,494.52 = 75,038.17/x
  3. Step 3: Cross multiply
    128,413.93x = 192,494.52 × 75,038.17
  4. Step 4: Simplify right side
    128,413.93x = 14,444,436,515.83
  5. Step 5: Solve for x
    x = 14,444,436,515.83/128,413.93
  6. Step 6: Final answer
    x = 112,483.41

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1.5x scale

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.