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Finding the Fourth Proportional to 114,352.64, 157,957.11 and 87,822.94

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Solution

The fourth proportional to 114,352.64, 157,957.11 and 87,822.94 is: 121,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,352.64 : 157,957.11 = 87,822.94 : x
  2. Step 2: Convert to fraction form
    114,352.64/157,957.11 = 87,822.94/x
  3. Step 3: Cross multiply
    114,352.64x = 157,957.11 × 87,822.94
  4. Step 4: Simplify right side
    114,352.64x = 13,872,257,354.99
  5. Step 5: Solve for x
    x = 13,872,257,354.99/114,352.64
  6. Step 6: Final answer
    x = 121,311.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.