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Finding the Fourth Proportional to 142,413.60, 213,328.80 and 72,332.40

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Solution

The fourth proportional to 142,413.60, 213,328.80 and 72,332.40 is: 108,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,413.60 : 213,328.80 = 72,332.40 : x
  2. Step 2: Convert to fraction form
    142,413.60/213,328.80 = 72,332.40/x
  3. Step 3: Cross multiply
    142,413.60x = 213,328.80 × 72,332.40
  4. Step 4: Simplify right side
    142,413.60x = 15,430,584,093.12
  5. Step 5: Solve for x
    x = 15,430,584,093.12/142,413.60
  6. Step 6: Final answer
    x = 108,350.50

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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.