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Finding the Fourth Proportional to 102,940.30, 154,337.55 and 46,807.30

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Solution

The fourth proportional to 102,940.30, 154,337.55 and 46,807.30 is: 70,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,940.30 : 154,337.55 = 46,807.30 : x
  2. Step 2: Convert to fraction form
    102,940.30/154,337.55 = 46,807.30/x
  3. Step 3: Cross multiply
    102,940.30x = 154,337.55 × 46,807.30
  4. Step 4: Simplify right side
    102,940.30x = 7,224,124,004.12
  5. Step 5: Solve for x
    x = 7,224,124,004.12/102,940.30
  6. Step 6: Final answer
    x = 70,177.80

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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.