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Finding the Fourth Proportional to 255,507.18, 352,595.34 and 142,327.50

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Solution

The fourth proportional to 255,507.18, 352,595.34 and 142,327.50 is: 196,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,507.18 : 352,595.34 = 142,327.50 : x
  2. Step 2: Convert to fraction form
    255,507.18/352,595.34 = 142,327.50/x
  3. Step 3: Cross multiply
    255,507.18x = 352,595.34 × 142,327.50
  4. Step 4: Simplify right side
    255,507.18x = 50,184,013,253.85
  5. Step 5: Solve for x
    x = 50,184,013,253.85/255,507.18
  6. Step 6: Final answer
    x = 196,409.41

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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.