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Finding the Fourth Proportional to 114,409, 157,884.42 and 64,124.20

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Solution

The fourth proportional to 114,409, 157,884.42 and 64,124.20 is: 88,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,409 : 157,884.42 = 64,124.20 : x
  2. Step 2: Convert to fraction form
    114,409/157,884.42 = 64,124.20/x
  3. Step 3: Cross multiply
    114,409x = 157,884.42 × 64,124.20
  4. Step 4: Simplify right side
    114,409x = 10,124,212,124.96
  5. Step 5: Solve for x
    x = 10,124,212,124.96/114,409
  6. Step 6: Final answer
    x = 88,491.40

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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.