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Finding the Fourth Proportional to 277,493.51, 416,193.32 and 77,767.93

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Solution

The fourth proportional to 277,493.51, 416,193.32 and 77,767.93 is: 116,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,493.51 : 416,193.32 = 77,767.93 : x
  2. Step 2: Convert to fraction form
    277,493.51/416,193.32 = 77,767.93/x
  3. Step 3: Cross multiply
    277,493.51x = 416,193.32 × 77,767.93
  4. Step 4: Simplify right side
    277,493.51x = 32,366,493,690.89
  5. Step 5: Solve for x
    x = 32,366,493,690.89/277,493.51
  6. Step 6: Final answer
    x = 116,638.74

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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.