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Finding the Fourth Proportional to 277,094.70, 415,581.72 and 74,686.08

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Solution

The fourth proportional to 277,094.70, 415,581.72 and 74,686.08 is: 112,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,094.70 : 415,581.72 = 74,686.08 : x
  2. Step 2: Convert to fraction form
    277,094.70/415,581.72 = 74,686.08/x
  3. Step 3: Cross multiply
    277,094.70x = 415,581.72 × 74,686.08
  4. Step 4: Simplify right side
    277,094.70x = 31,038,169,586.46
  5. Step 5: Solve for x
    x = 31,038,169,586.46/277,094.70
  6. Step 6: Final answer
    x = 112,012.86

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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.