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Finding the Fourth Proportional to 496,054.76, 744,082.12 and 122,077.76

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Solution

The fourth proportional to 496,054.76, 744,082.12 and 122,077.76 is: 183,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,054.76 : 744,082.12 = 122,077.76 : x
  2. Step 2: Convert to fraction form
    496,054.76/744,082.12 = 122,077.76/x
  3. Step 3: Cross multiply
    496,054.76x = 744,082.12 × 122,077.76
  4. Step 4: Simplify right side
    496,054.76x = 90,835,878,465.65
  5. Step 5: Solve for x
    x = 90,835,878,465.65/496,054.76
  6. Step 6: Final answer
    x = 183,116.64

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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.