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Finding the Fourth Proportional to 130,558, 180,170.22 and 73,973.20

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Solution

The fourth proportional to 130,558, 180,170.22 and 73,973.20 is: 102,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,558 : 180,170.22 = 73,973.20 : x
  2. Step 2: Convert to fraction form
    130,558/180,170.22 = 73,973.20/x
  3. Step 3: Cross multiply
    130,558x = 180,170.22 × 73,973.20
  4. Step 4: Simplify right side
    130,558x = 13,327,767,718.10
  5. Step 5: Solve for x
    x = 13,327,767,718.10/130,558
  6. Step 6: Final answer
    x = 102,083.12

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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.