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Finding the Fourth Proportional to 190,953, 286,429.50 and 66,294

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Solution

The fourth proportional to 190,953, 286,429.50 and 66,294 is: 99,441

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,953 : 286,429.50 = 66,294 : x
  2. Step 2: Convert to fraction form
    190,953/286,429.50 = 66,294/x
  3. Step 3: Cross multiply
    190,953x = 286,429.50 × 66,294
  4. Step 4: Simplify right side
    190,953x = 18,988,557,273
  5. Step 5: Solve for x
    x = 18,988,557,273/190,953
  6. Step 6: Final answer
    x = 99,441

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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.