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Finding the Fourth Proportional to 212,235.10, 292,878.32 and 116,741.78

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Solution

The fourth proportional to 212,235.10, 292,878.32 and 116,741.78 is: 161,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,235.10 : 292,878.32 = 116,741.78 : x
  2. Step 2: Convert to fraction form
    212,235.10/292,878.32 = 116,741.78/x
  3. Step 3: Cross multiply
    212,235.10x = 292,878.32 × 116,741.78
  4. Step 4: Simplify right side
    212,235.10x = 34,191,136,400.21
  5. Step 5: Solve for x
    x = 34,191,136,400.21/212,235.10
  6. Step 6: Final answer
    x = 161,100.29

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