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Finding the Fourth Proportional to 142,596, 213,815.52 and 97,669.08

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Solution

The fourth proportional to 142,596, 213,815.52 and 97,669.08 is: 146,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,596 : 213,815.52 = 97,669.08 : x
  2. Step 2: Convert to fraction form
    142,596/213,815.52 = 97,669.08/x
  3. Step 3: Cross multiply
    142,596x = 213,815.52 × 97,669.08
  4. Step 4: Simplify right side
    142,596x = 20,883,165,128.12
  5. Step 5: Solve for x
    x = 20,883,165,128.12/142,596
  6. Step 6: Final answer
    x = 146,449.87

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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.