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Finding the Fourth Proportional to 194,563.60, 268,631.40 and 146,870.80

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Solution

The fourth proportional to 194,563.60, 268,631.40 and 146,870.80 is: 202,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,563.60 : 268,631.40 = 146,870.80 : x
  2. Step 2: Convert to fraction form
    194,563.60/268,631.40 = 146,870.80/x
  3. Step 3: Cross multiply
    194,563.60x = 268,631.40 × 146,870.80
  4. Step 4: Simplify right side
    194,563.60x = 39,454,108,623.12
  5. Step 5: Solve for x
    x = 39,454,108,623.12/194,563.60
  6. Step 6: Final answer
    x = 202,782.58

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Why These Related Problems?

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