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Finding the Fourth Proportional to 114,444, 157,932.72 and 64,143.36

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Solution

The fourth proportional to 114,444, 157,932.72 and 64,143.36 is: 88,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,444 : 157,932.72 = 64,143.36 : x
  2. Step 2: Convert to fraction form
    114,444/157,932.72 = 64,143.36/x
  3. Step 3: Cross multiply
    114,444x = 157,932.72 × 64,143.36
  4. Step 4: Simplify right side
    114,444x = 10,130,335,314.74
  5. Step 5: Solve for x
    x = 10,130,335,314.74/114,444
  6. Step 6: Final answer
    x = 88,517.84

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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.