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Finding the Fourth Proportional to 130,500, 180,090.18 and 70,884

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Solution

The fourth proportional to 130,500, 180,090.18 and 70,884 is: 97,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,500 : 180,090.18 = 70,884 : x
  2. Step 2: Convert to fraction form
    130,500/180,090.18 = 70,884/x
  3. Step 3: Cross multiply
    130,500x = 180,090.18 × 70,884
  4. Step 4: Simplify right side
    130,500x = 12,765,512,319.12
  5. Step 5: Solve for x
    x = 12,765,512,319.12/130,500
  6. Step 6: Final answer
    x = 97,820.02

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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.