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Finding the Fourth Proportional to 130,071, 195,102.15 and 55,142.94

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Solution

The fourth proportional to 130,071, 195,102.15 and 55,142.94 is: 82,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,071 : 195,102.15 = 55,142.94 : x
  2. Step 2: Convert to fraction form
    130,071/195,102.15 = 55,142.94/x
  3. Step 3: Cross multiply
    130,071x = 195,102.15 × 55,142.94
  4. Step 4: Simplify right side
    130,071x = 10,758,506,151.32
  5. Step 5: Solve for x
    x = 10,758,506,151.32/130,071
  6. Step 6: Final answer
    x = 82,712.57

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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.