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Finding the Fourth Proportional to 117,693.60, 176,281.20 and 82,442.40

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Solution

The fourth proportional to 117,693.60, 176,281.20 and 82,442.40 is: 123,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,693.60 : 176,281.20 = 82,442.40 : x
  2. Step 2: Convert to fraction form
    117,693.60/176,281.20 = 82,442.40/x
  3. Step 3: Cross multiply
    117,693.60x = 176,281.20 × 82,442.40
  4. Step 4: Simplify right side
    117,693.60x = 14,533,045,202.88
  5. Step 5: Solve for x
    x = 14,533,045,202.88/117,693.60
  6. Step 6: Final answer
    x = 123,482.03

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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.