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Finding the Fourth Proportional to 277,085.35, 382,370.11 and 156,225.57

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Solution

The fourth proportional to 277,085.35, 382,370.11 and 156,225.57 is: 215,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,085.35 : 382,370.11 = 156,225.57 : x
  2. Step 2: Convert to fraction form
    277,085.35/382,370.11 = 156,225.57/x
  3. Step 3: Cross multiply
    277,085.35x = 382,370.11 × 156,225.57
  4. Step 4: Simplify right side
    277,085.35x = 59,735,988,385.71
  5. Step 5: Solve for x
    x = 59,735,988,385.71/277,085.35
  6. Step 6: Final answer
    x = 215,586.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.