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Finding the Fourth Proportional to 212,153.64, 292,779.54 and 116,667.60

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Solution

The fourth proportional to 212,153.64, 292,779.54 and 116,667.60 is: 161,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,153.64 : 292,779.54 = 116,667.60 : x
  2. Step 2: Convert to fraction form
    212,153.64/292,779.54 = 116,667.60/x
  3. Step 3: Cross multiply
    212,153.64x = 292,779.54 × 116,667.60
  4. Step 4: Simplify right side
    212,153.64x = 34,157,886,260.90
  5. Step 5: Solve for x
    x = 34,157,886,260.90/212,153.64
  6. Step 6: Final answer
    x = 161,005.42

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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.