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Finding the Fourth Proportional to 121,798, 182,773.80 and 47,924.08

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Solution

The fourth proportional to 121,798, 182,773.80 and 47,924.08 is: 71,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,798 : 182,773.80 = 47,924.08 : x
  2. Step 2: Convert to fraction form
    121,798/182,773.80 = 47,924.08/x
  3. Step 3: Cross multiply
    121,798x = 182,773.80 × 47,924.08
  4. Step 4: Simplify right side
    121,798x = 8,759,266,213.10
  5. Step 5: Solve for x
    x = 8,759,266,213.10/121,798
  6. Step 6: Final answer
    x = 71,916.34

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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.