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Finding the Fourth Proportional to 114,145.72, 157,512.54 and 63,835

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Solution

The fourth proportional to 114,145.72, 157,512.54 and 63,835 is: 88,087.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,145.72 : 157,512.54 = 63,835 : x
  2. Step 2: Convert to fraction form
    114,145.72/157,512.54 = 63,835/x
  3. Step 3: Cross multiply
    114,145.72x = 157,512.54 × 63,835
  4. Step 4: Simplify right side
    114,145.72x = 10,054,812,990.90
  5. Step 5: Solve for x
    x = 10,054,812,990.90/114,145.72
  6. Step 6: Final answer
    x = 88,087.52

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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.