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Finding the Fourth Proportional to 166,027.08, 229,051.62 and 102,254.16

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Solution

The fourth proportional to 166,027.08, 229,051.62 and 102,254.16 is: 141,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,027.08 : 229,051.62 = 102,254.16 : x
  2. Step 2: Convert to fraction form
    166,027.08/229,051.62 = 102,254.16/x
  3. Step 3: Cross multiply
    166,027.08x = 229,051.62 × 102,254.16
  4. Step 4: Simplify right side
    166,027.08x = 23,421,480,999.74
  5. Step 5: Solve for x
    x = 23,421,480,999.74/166,027.08
  6. Step 6: Final answer
    x = 141,070.25

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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.