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Finding the Fourth Proportional to 108,534.40, 162,801.60 and 77,041.60

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Solution

The fourth proportional to 108,534.40, 162,801.60 and 77,041.60 is: 115,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,534.40 : 162,801.60 = 77,041.60 : x
  2. Step 2: Convert to fraction form
    108,534.40/162,801.60 = 77,041.60/x
  3. Step 3: Cross multiply
    108,534.40x = 162,801.60 × 77,041.60
  4. Step 4: Simplify right side
    108,534.40x = 12,542,495,746.56
  5. Step 5: Solve for x
    x = 12,542,495,746.56/108,534.40
  6. Step 6: Final answer
    x = 115,562.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.