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Finding the Fourth Proportional to 114,453, 157,945.14 and 64,152

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Solution

The fourth proportional to 114,453, 157,945.14 and 64,152 is: 88,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,453 : 157,945.14 = 64,152 : x
  2. Step 2: Convert to fraction form
    114,453/157,945.14 = 64,152/x
  3. Step 3: Cross multiply
    114,453x = 157,945.14 × 64,152
  4. Step 4: Simplify right side
    114,453x = 10,132,496,621.28
  5. Step 5: Solve for x
    x = 10,132,496,621.28/114,453
  6. Step 6: Final answer
    x = 88,529.76

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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.