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Finding the Fourth Proportional to 312,102.64, 430,701.40 and 176,165.20

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Solution

The fourth proportional to 312,102.64, 430,701.40 and 176,165.20 is: 243,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,102.64 : 430,701.40 = 176,165.20 : x
  2. Step 2: Convert to fraction form
    312,102.64/430,701.40 = 176,165.20/x
  3. Step 3: Cross multiply
    312,102.64x = 430,701.40 × 176,165.20
  4. Step 4: Simplify right side
    312,102.64x = 75,874,598,271.28
  5. Step 5: Solve for x
    x = 75,874,598,271.28/312,102.64
  6. Step 6: Final answer
    x = 243,107.84

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