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Finding the Fourth Proportional to 146,598.40, 219,868.80 and 48,102.40

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Solution

The fourth proportional to 146,598.40, 219,868.80 and 48,102.40 is: 72,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,598.40 : 219,868.80 = 48,102.40 : x
  2. Step 2: Convert to fraction form
    146,598.40/219,868.80 = 48,102.40/x
  3. Step 3: Cross multiply
    146,598.40x = 219,868.80 × 48,102.40
  4. Step 4: Simplify right side
    146,598.40x = 10,576,216,965.12
  5. Step 5: Solve for x
    x = 10,576,216,965.12/146,598.40
  6. Step 6: Final answer
    x = 72,144.15

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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.