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Finding the Fourth Proportional to 118,947, 178,489.62 and 53,283

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Solution

The fourth proportional to 118,947, 178,489.62 and 53,283 is: 79,955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,947 : 178,489.62 = 53,283 : x
  2. Step 2: Convert to fraction form
    118,947/178,489.62 = 53,283/x
  3. Step 3: Cross multiply
    118,947x = 178,489.62 × 53,283
  4. Step 4: Simplify right side
    118,947x = 9,510,462,422.46
  5. Step 5: Solve for x
    x = 9,510,462,422.46/118,947
  6. Step 6: Final answer
    x = 79,955.46

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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.