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Finding the Fourth Proportional to 301,825.52, 452,934.84 and 114,838.64

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Solution

The fourth proportional to 301,825.52, 452,934.84 and 114,838.64 is: 172,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,825.52 : 452,934.84 = 114,838.64 : x
  2. Step 2: Convert to fraction form
    301,825.52/452,934.84 = 114,838.64/x
  3. Step 3: Cross multiply
    301,825.52x = 452,934.84 × 114,838.64
  4. Step 4: Simplify right side
    301,825.52x = 52,014,421,034.22
  5. Step 5: Solve for x
    x = 52,014,421,034.22/301,825.52
  6. Step 6: Final answer
    x = 172,332.75

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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.