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Finding the Fourth Proportional to 134,654, 185,821.50 and 74,224.64

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Solution

The fourth proportional to 134,654, 185,821.50 and 74,224.64 is: 102,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,654 : 185,821.50 = 74,224.64 : x
  2. Step 2: Convert to fraction form
    134,654/185,821.50 = 74,224.64/x
  3. Step 3: Cross multiply
    134,654x = 185,821.50 × 74,224.64
  4. Step 4: Simplify right side
    134,654x = 13,792,533,941.76
  5. Step 5: Solve for x
    x = 13,792,533,941.76/134,654
  6. Step 6: Final answer
    x = 102,429.44

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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.