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Finding the Fourth Proportional to 130,455.77, 180,032.63 and 73,867.14

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Solution

The fourth proportional to 130,455.77, 180,032.63 and 73,867.14 is: 101,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,455.77 : 180,032.63 = 73,867.14 : x
  2. Step 2: Convert to fraction form
    130,455.77/180,032.63 = 73,867.14/x
  3. Step 3: Cross multiply
    130,455.77x = 180,032.63 × 73,867.14
  4. Step 4: Simplify right side
    130,455.77x = 13,298,495,115.44
  5. Step 5: Solve for x
    x = 13,298,495,115.44/130,455.77
  6. Step 6: Final answer
    x = 101,938.73

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Why These Related Problems?

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