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Finding the Fourth Proportional to 201,952.80, 302,929.20 and 61,693.20

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Solution

The fourth proportional to 201,952.80, 302,929.20 and 61,693.20 is: 92,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,952.80 : 302,929.20 = 61,693.20 : x
  2. Step 2: Convert to fraction form
    201,952.80/302,929.20 = 61,693.20/x
  3. Step 3: Cross multiply
    201,952.80x = 302,929.20 × 61,693.20
  4. Step 4: Simplify right side
    201,952.80x = 18,688,671,721.44
  5. Step 5: Solve for x
    x = 18,688,671,721.44/201,952.80
  6. Step 6: Final answer
    x = 92,539.80

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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.