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Finding the Fourth Proportional to 178,140.40, 267,210.60 and 53,465.20

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Solution

The fourth proportional to 178,140.40, 267,210.60 and 53,465.20 is: 80,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,140.40 : 267,210.60 = 53,465.20 : x
  2. Step 2: Convert to fraction form
    178,140.40/267,210.60 = 53,465.20/x
  3. Step 3: Cross multiply
    178,140.40x = 267,210.60 × 53,465.20
  4. Step 4: Simplify right side
    178,140.40x = 14,286,468,171.12
  5. Step 5: Solve for x
    x = 14,286,468,171.12/178,140.40
  6. Step 6: Final answer
    x = 80,197.80

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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.