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Finding the Fourth Proportional to 301,889.43, 452,891.59 and 102,156.19

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Solution

The fourth proportional to 301,889.43, 452,891.59 and 102,156.19 is: 153,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,889.43 : 452,891.59 = 102,156.19 : x
  2. Step 2: Convert to fraction form
    301,889.43/452,891.59 = 102,156.19/x
  3. Step 3: Cross multiply
    301,889.43x = 452,891.59 × 102,156.19
  4. Step 4: Simplify right side
    301,889.43x = 46,265,677,929.82
  5. Step 5: Solve for x
    x = 46,265,677,929.82/301,889.43
  6. Step 6: Final answer
    x = 153,253.72

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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.