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Finding the Fourth Proportional to 105,120.90, 157,422.15 and 69,869.70

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Solution

The fourth proportional to 105,120.90, 157,422.15 and 69,869.70 is: 104,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,120.90 : 157,422.15 = 69,869.70 : x
  2. Step 2: Convert to fraction form
    105,120.90/157,422.15 = 69,869.70/x
  3. Step 3: Cross multiply
    105,120.90x = 157,422.15 × 69,869.70
  4. Step 4: Simplify right side
    105,120.90x = 10,999,038,393.86
  5. Step 5: Solve for x
    x = 10,999,038,393.86/105,120.90
  6. Step 6: Final answer
    x = 104,632.27

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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.