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Finding the Fourth Proportional to 292,094.34, 438,195.57 and 92,464.98

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Solution

The fourth proportional to 292,094.34, 438,195.57 and 92,464.98 is: 138,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,094.34 : 438,195.57 = 92,464.98 : x
  2. Step 2: Convert to fraction form
    292,094.34/438,195.57 = 92,464.98/x
  3. Step 3: Cross multiply
    292,094.34x = 438,195.57 × 92,464.98
  4. Step 4: Simplify right side
    292,094.34x = 40,517,744,616.14
  5. Step 5: Solve for x
    x = 40,517,744,616.14/292,094.34
  6. Step 6: Final answer
    x = 138,714.58

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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.