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Finding the Fourth Proportional to 103,870.50, 155,831.67 and 29,998.50

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Solution

The fourth proportional to 103,870.50, 155,831.67 and 29,998.50 is: 45,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,870.50 : 155,831.67 = 29,998.50 : x
  2. Step 2: Convert to fraction form
    103,870.50/155,831.67 = 29,998.50/x
  3. Step 3: Cross multiply
    103,870.50x = 155,831.67 × 29,998.50
  4. Step 4: Simplify right side
    103,870.50x = 4,674,716,352.50
  5. Step 5: Solve for x
    x = 4,674,716,352.50/103,870.50
  6. Step 6: Final answer
    x = 45,005.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.