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Finding the Fourth Proportional to 277,495.51, 416,196.32 and 77,769.93

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Solution

The fourth proportional to 277,495.51, 416,196.32 and 77,769.93 is: 116,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,495.51 : 416,196.32 = 77,769.93 : x
  2. Step 2: Convert to fraction form
    277,495.51/416,196.32 = 77,769.93/x
  3. Step 3: Cross multiply
    277,495.51x = 416,196.32 × 77,769.93
  4. Step 4: Simplify right side
    277,495.51x = 32,367,558,672.66
  5. Step 5: Solve for x
    x = 32,367,558,672.66/277,495.51
  6. Step 6: Final answer
    x = 116,641.74

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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.