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Finding the Fourth Proportional to 114,530.40, 172,256.40 and 102,549.60

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Solution

The fourth proportional to 114,530.40, 172,256.40 and 102,549.60 is: 154,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,530.40 : 172,256.40 = 102,549.60 : x
  2. Step 2: Convert to fraction form
    114,530.40/172,256.40 = 102,549.60/x
  3. Step 3: Cross multiply
    114,530.40x = 172,256.40 × 102,549.60
  4. Step 4: Simplify right side
    114,530.40x = 17,664,824,917.44
  5. Step 5: Solve for x
    x = 17,664,824,917.44/114,530.40
  6. Step 6: Final answer
    x = 154,237.00

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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.