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Finding the Fourth Proportional to 114,228.48, 171,400.32 and 64,364.16

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Solution

The fourth proportional to 114,228.48, 171,400.32 and 64,364.16 is: 96,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,228.48 : 171,400.32 = 64,364.16 : x
  2. Step 2: Convert to fraction form
    114,228.48/171,400.32 = 64,364.16/x
  3. Step 3: Cross multiply
    114,228.48x = 171,400.32 × 64,364.16
  4. Step 4: Simplify right side
    114,228.48x = 11,032,037,620.53
  5. Step 5: Solve for x
    x = 11,032,037,620.53/114,228.48
  6. Step 6: Final answer
    x = 96,578.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.