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Finding the Fourth Proportional to 277,713.34, 416,580.03 and 142,741.11

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Solution

The fourth proportional to 277,713.34, 416,580.03 and 142,741.11 is: 214,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,713.34 : 416,580.03 = 142,741.11 : x
  2. Step 2: Convert to fraction form
    277,713.34/416,580.03 = 142,741.11/x
  3. Step 3: Cross multiply
    277,713.34x = 416,580.03 × 142,741.11
  4. Step 4: Simplify right side
    277,713.34x = 59,463,097,448.21
  5. Step 5: Solve for x
    x = 59,463,097,448.21/277,713.34
  6. Step 6: Final answer
    x = 214,116.82

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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.