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Finding the Fourth Proportional to 146,367.64, 219,548.40 and 46,528

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Solution

The fourth proportional to 146,367.64, 219,548.40 and 46,528 is: 69,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,367.64 : 219,548.40 = 46,528 : x
  2. Step 2: Convert to fraction form
    146,367.64/219,548.40 = 46,528/x
  3. Step 3: Cross multiply
    146,367.64x = 219,548.40 × 46,528
  4. Step 4: Simplify right side
    146,367.64x = 10,215,147,955.20
  5. Step 5: Solve for x
    x = 10,215,147,955.20/146,367.64
  6. Step 6: Final answer
    x = 69,791.03

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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.