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Finding the Fourth Proportional to 111,784.32, 154,273.68 and 64,044

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Solution

The fourth proportional to 111,784.32, 154,273.68 and 64,044 is: 88,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,784.32 : 154,273.68 = 64,044 : x
  2. Step 2: Convert to fraction form
    111,784.32/154,273.68 = 64,044/x
  3. Step 3: Cross multiply
    111,784.32x = 154,273.68 × 64,044
  4. Step 4: Simplify right side
    111,784.32x = 9,880,303,561.92
  5. Step 5: Solve for x
    x = 9,880,303,561.92/111,784.32
  6. Step 6: Final answer
    x = 88,387.20

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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.