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Finding the Fourth Proportional to 114,302.64, 157,591.42 and 78,430.36

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Solution

The fourth proportional to 114,302.64, 157,591.42 and 78,430.36 is: 108,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,302.64 : 157,591.42 = 78,430.36 : x
  2. Step 2: Convert to fraction form
    114,302.64/157,591.42 = 78,430.36/x
  3. Step 3: Cross multiply
    114,302.64x = 157,591.42 × 78,430.36
  4. Step 4: Simplify right side
    114,302.64x = 12,359,951,803.51
  5. Step 5: Solve for x
    x = 12,359,951,803.51/114,302.64
  6. Step 6: Final answer
    x = 108,133.56

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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.