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Finding the Fourth Proportional to 130,990.84, 180,767.36 and 71,374.84

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Solution

The fourth proportional to 130,990.84, 180,767.36 and 71,374.84 is: 98,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,990.84 : 180,767.36 = 71,374.84 : x
  2. Step 2: Convert to fraction form
    130,990.84/180,767.36 = 71,374.84/x
  3. Step 3: Cross multiply
    130,990.84x = 180,767.36 × 71,374.84
  4. Step 4: Simplify right side
    130,990.84x = 12,902,241,397.22
  5. Step 5: Solve for x
    x = 12,902,241,397.22/130,990.84
  6. Step 6: Final answer
    x = 98,497.28

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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.