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Finding the Fourth Proportional to 277,666.34, 416,515.10 and 77,971.16

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Solution

The fourth proportional to 277,666.34, 416,515.10 and 77,971.16 is: 116,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,666.34 : 416,515.10 = 77,971.16 : x
  2. Step 2: Convert to fraction form
    277,666.34/416,515.10 = 77,971.16/x
  3. Step 3: Cross multiply
    277,666.34x = 416,515.10 × 77,971.16
  4. Step 4: Simplify right side
    277,666.34x = 32,476,164,984.50
  5. Step 5: Solve for x
    x = 32,476,164,984.50/277,666.34
  6. Step 6: Final answer
    x = 116,961.11

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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.