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Finding the Fourth Proportional to 114,650.10, 171,829.35 and 102,111.30

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Solution

The fourth proportional to 114,650.10, 171,829.35 and 102,111.30 is: 153,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,650.10 : 171,829.35 = 102,111.30 : x
  2. Step 2: Convert to fraction form
    114,650.10/171,829.35 = 102,111.30/x
  3. Step 3: Cross multiply
    114,650.10x = 171,829.35 × 102,111.30
  4. Step 4: Simplify right side
    114,650.10x = 17,545,718,306.66
  5. Step 5: Solve for x
    x = 17,545,718,306.66/114,650.10
  6. Step 6: Final answer
    x = 153,037.10

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