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Finding the Fourth Proportional to 164,475, 227,018.04 and 107,256.96

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Solution

The fourth proportional to 164,475, 227,018.04 and 107,256.96 is: 148,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,475 : 227,018.04 = 107,256.96 : x
  2. Step 2: Convert to fraction form
    164,475/227,018.04 = 107,256.96/x
  3. Step 3: Cross multiply
    164,475x = 227,018.04 × 107,256.96
  4. Step 4: Simplify right side
    164,475x = 24,349,264,835.56
  5. Step 5: Solve for x
    x = 24,349,264,835.56/164,475
  6. Step 6: Final answer
    x = 148,042.35

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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.