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Finding the Fourth Proportional to 200,701, 301,071.68 and 52,957

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Solution

The fourth proportional to 200,701, 301,071.68 and 52,957 is: 79,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,701 : 301,071.68 = 52,957 : x
  2. Step 2: Convert to fraction form
    200,701/301,071.68 = 52,957/x
  3. Step 3: Cross multiply
    200,701x = 301,071.68 × 52,957
  4. Step 4: Simplify right side
    200,701x = 15,943,852,957.76
  5. Step 5: Solve for x
    x = 15,943,852,957.76/200,701
  6. Step 6: Final answer
    x = 79,440.82

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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.