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Finding the Fourth Proportional to 277,165.94, 382,488.90 and 149,841.50

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Solution

The fourth proportional to 277,165.94, 382,488.90 and 149,841.50 is: 206,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,165.94 : 382,488.90 = 149,841.50 : x
  2. Step 2: Convert to fraction form
    277,165.94/382,488.90 = 149,841.50/x
  3. Step 3: Cross multiply
    277,165.94x = 382,488.90 × 149,841.50
  4. Step 4: Simplify right side
    277,165.94x = 57,312,710,509.35
  5. Step 5: Solve for x
    x = 57,312,710,509.35/277,165.94
  6. Step 6: Final answer
    x = 206,781.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.