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Finding the Fourth Proportional to 142,188.48, 196,224.48 and 78,530.40

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Solution

The fourth proportional to 142,188.48, 196,224.48 and 78,530.40 is: 108,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,188.48 : 196,224.48 = 78,530.40 : x
  2. Step 2: Convert to fraction form
    142,188.48/196,224.48 = 78,530.40/x
  3. Step 3: Cross multiply
    142,188.48x = 196,224.48 × 78,530.40
  4. Step 4: Simplify right side
    142,188.48x = 15,409,586,904.19
  5. Step 5: Solve for x
    x = 15,409,586,904.19/142,188.48
  6. Step 6: Final answer
    x = 108,374.37

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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.