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Finding the Fourth Proportional to 130,737, 180,419.94 and 71,121

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Solution

The fourth proportional to 130,737, 180,419.94 and 71,121 is: 98,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,737 : 180,419.94 = 71,121 : x
  2. Step 2: Convert to fraction form
    130,737/180,419.94 = 71,121/x
  3. Step 3: Cross multiply
    130,737x = 180,419.94 × 71,121
  4. Step 4: Simplify right side
    130,737x = 12,831,646,552.74
  5. Step 5: Solve for x
    x = 12,831,646,552.74/130,737
  6. Step 6: Final answer
    x = 98,148.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.