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Finding the Fourth Proportional to 216,803.40, 325,302.30 and 98,413.80

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Solution

The fourth proportional to 216,803.40, 325,302.30 and 98,413.80 is: 147,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,803.40 : 325,302.30 = 98,413.80 : x
  2. Step 2: Convert to fraction form
    216,803.40/325,302.30 = 98,413.80/x
  3. Step 3: Cross multiply
    216,803.40x = 325,302.30 × 98,413.80
  4. Step 4: Simplify right side
    216,803.40x = 32,014,235,491.74
  5. Step 5: Solve for x
    x = 32,014,235,491.74/216,803.40
  6. Step 6: Final answer
    x = 147,664.82

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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.