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Finding the Fourth Proportional to 277,082.85, 382,366.65 and 156,223.08

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Solution

The fourth proportional to 277,082.85, 382,366.65 and 156,223.08 is: 215,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,082.85 : 382,366.65 = 156,223.08 : x
  2. Step 2: Convert to fraction form
    277,082.85/382,366.65 = 156,223.08/x
  3. Step 3: Cross multiply
    277,082.85x = 382,366.65 × 156,223.08
  4. Step 4: Simplify right side
    277,082.85x = 59,734,495,752.28
  5. Step 5: Solve for x
    x = 59,734,495,752.28/277,082.85
  6. Step 6: Final answer
    x = 215,583.52

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1.5x scale

Why These Related Problems?

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