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Finding the Fourth Proportional to 292,082.63, 403,074.09 and 157,946.63

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Solution

The fourth proportional to 292,082.63, 403,074.09 and 157,946.63 is: 217,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,082.63 : 403,074.09 = 157,946.63 : x
  2. Step 2: Convert to fraction form
    292,082.63/403,074.09 = 157,946.63/x
  3. Step 3: Cross multiply
    292,082.63x = 403,074.09 × 157,946.63
  4. Step 4: Simplify right side
    292,082.63x = 63,664,192,140.45
  5. Step 5: Solve for x
    x = 63,664,192,140.45/292,082.63
  6. Step 6: Final answer
    x = 217,966.38

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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.