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Finding the Fourth Proportional to 129,531.44, 193,894.68 and 70,220

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Solution

The fourth proportional to 129,531.44, 193,894.68 and 70,220 is: 105,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,531.44 : 193,894.68 = 70,220 : x
  2. Step 2: Convert to fraction form
    129,531.44/193,894.68 = 70,220/x
  3. Step 3: Cross multiply
    129,531.44x = 193,894.68 × 70,220
  4. Step 4: Simplify right side
    129,531.44x = 13,615,284,429.60
  5. Step 5: Solve for x
    x = 13,615,284,429.60/129,531.44
  6. Step 6: Final answer
    x = 105,111.81

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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.