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Finding the Fourth Proportional to 146,732.80, 219,904.80 and 130,014.40

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Solution

The fourth proportional to 146,732.80, 219,904.80 and 130,014.40 is: 194,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,732.80 : 219,904.80 = 130,014.40 : x
  2. Step 2: Convert to fraction form
    146,732.80/219,904.80 = 130,014.40/x
  3. Step 3: Cross multiply
    146,732.80x = 219,904.80 × 130,014.40
  4. Step 4: Simplify right side
    146,732.80x = 28,590,790,629.12
  5. Step 5: Solve for x
    x = 28,590,790,629.12/146,732.80
  6. Step 6: Final answer
    x = 194,849.35

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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.