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Finding the Fourth Proportional to 301,713, 452,627.76 and 114,709.92

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Solution

The fourth proportional to 301,713, 452,627.76 and 114,709.92 is: 172,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,713 : 452,627.76 = 114,709.92 : x
  2. Step 2: Convert to fraction form
    301,713/452,627.76 = 114,709.92/x
  3. Step 3: Cross multiply
    301,713x = 452,627.76 × 114,709.92
  4. Step 4: Simplify right side
    301,713x = 51,920,894,139.38
  5. Step 5: Solve for x
    x = 51,920,894,139.38/301,713
  6. Step 6: Final answer
    x = 172,087.03

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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.