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Finding the Fourth Proportional to 119,189.90, 178,744.77 and 48,094.16

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Solution

The fourth proportional to 119,189.90, 178,744.77 and 48,094.16 is: 72,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,189.90 : 178,744.77 = 48,094.16 : x
  2. Step 2: Convert to fraction form
    119,189.90/178,744.77 = 48,094.16/x
  3. Step 3: Cross multiply
    119,189.90x = 178,744.77 × 48,094.16
  4. Step 4: Simplify right side
    119,189.90x = 8,596,579,567.54
  5. Step 5: Solve for x
    x = 8,596,579,567.54/119,189.90
  6. Step 6: Final answer
    x = 72,125.07

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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.