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Finding the Fourth Proportional to 119,142.71, 178,748.65 and 48,028.64

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Solution

The fourth proportional to 119,142.71, 178,748.65 and 48,028.64 is: 72,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,142.71 : 178,748.65 = 48,028.64 : x
  2. Step 2: Convert to fraction form
    119,142.71/178,748.65 = 48,028.64/x
  3. Step 3: Cross multiply
    119,142.71x = 178,748.65 × 48,028.64
  4. Step 4: Simplify right side
    119,142.71x = 8,585,054,888.14
  5. Step 5: Solve for x
    x = 8,585,054,888.14/119,142.71
  6. Step 6: Final answer
    x = 72,056.91

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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.