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Finding the Fourth Proportional to 194,937.64, 292,170.84 and 94,948

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Solution

The fourth proportional to 194,937.64, 292,170.84 and 94,948 is: 142,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,937.64 : 292,170.84 = 94,948 : x
  2. Step 2: Convert to fraction form
    194,937.64/292,170.84 = 94,948/x
  3. Step 3: Cross multiply
    194,937.64x = 292,170.84 × 94,948
  4. Step 4: Simplify right side
    194,937.64x = 27,741,036,916.32
  5. Step 5: Solve for x
    x = 27,741,036,916.32/194,937.64
  6. Step 6: Final answer
    x = 142,307.24

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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.