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Finding the Fourth Proportional to 178,133.40, 267,200.10 and 175,368.60

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Solution

The fourth proportional to 178,133.40, 267,200.10 and 175,368.60 is: 263,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,133.40 : 267,200.10 = 175,368.60 : x
  2. Step 2: Convert to fraction form
    178,133.40/267,200.10 = 175,368.60/x
  3. Step 3: Cross multiply
    178,133.40x = 267,200.10 × 175,368.60
  4. Step 4: Simplify right side
    178,133.40x = 46,858,507,456.86
  5. Step 5: Solve for x
    x = 46,858,507,456.86/178,133.40
  6. Step 6: Final answer
    x = 263,052.90

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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.