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Finding the Fourth Proportional to 277,115.16, 415,782.54 and 144,079.32

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Solution

The fourth proportional to 277,115.16, 415,782.54 and 144,079.32 is: 216,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,115.16 : 415,782.54 = 144,079.32 : x
  2. Step 2: Convert to fraction form
    277,115.16/415,782.54 = 144,079.32/x
  3. Step 3: Cross multiply
    277,115.16x = 415,782.54 × 144,079.32
  4. Step 4: Simplify right side
    277,115.16x = 59,905,665,631.07
  5. Step 5: Solve for x
    x = 59,905,665,631.07/277,115.16
  6. Step 6: Final answer
    x = 216,176.07

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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.