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Finding the Fourth Proportional to 207,830.64, 311,746.02 and 50,059.02

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Solution

The fourth proportional to 207,830.64, 311,746.02 and 50,059.02 is: 75,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,830.64 : 311,746.02 = 50,059.02 : x
  2. Step 2: Convert to fraction form
    207,830.64/311,746.02 = 50,059.02/x
  3. Step 3: Cross multiply
    207,830.64x = 311,746.02 × 50,059.02
  4. Step 4: Simplify right side
    207,830.64x = 15,605,700,250.10
  5. Step 5: Solve for x
    x = 15,605,700,250.10/207,830.64
  6. Step 6: Final answer
    x = 75,088.54

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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.