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Finding the Fourth Proportional to 130,496.68, 180,098.06 and 73,145.75

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Solution

The fourth proportional to 130,496.68, 180,098.06 and 73,145.75 is: 100,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,496.68 : 180,098.06 = 73,145.75 : x
  2. Step 2: Convert to fraction form
    130,496.68/180,098.06 = 73,145.75/x
  3. Step 3: Cross multiply
    130,496.68x = 180,098.06 × 73,145.75
  4. Step 4: Simplify right side
    130,496.68x = 13,173,406,406.03
  5. Step 5: Solve for x
    x = 13,173,406,406.03/130,496.68
  6. Step 6: Final answer
    x = 100,948.21

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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.