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Finding the Fourth Proportional to 171,802.25, 257,740.41 and 51,849.17

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Solution

The fourth proportional to 171,802.25, 257,740.41 and 51,849.17 is: 77,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,802.25 : 257,740.41 = 51,849.17 : x
  2. Step 2: Convert to fraction form
    171,802.25/257,740.41 = 51,849.17/x
  3. Step 3: Cross multiply
    171,802.25x = 257,740.41 × 51,849.17
  4. Step 4: Simplify right side
    171,802.25x = 13,363,626,767.85
  5. Step 5: Solve for x
    x = 13,363,626,767.85/171,802.25
  6. Step 6: Final answer
    x = 77,784.94

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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.