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Finding the Fourth Proportional to 306,498.06, 459,746.13 and 96,151.98

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Solution

The fourth proportional to 306,498.06, 459,746.13 and 96,151.98 is: 144,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,498.06 : 459,746.13 = 96,151.98 : x
  2. Step 2: Convert to fraction form
    306,498.06/459,746.13 = 96,151.98/x
  3. Step 3: Cross multiply
    306,498.06x = 459,746.13 × 96,151.98
  4. Step 4: Simplify right side
    306,498.06x = 44,205,500,696.84
  5. Step 5: Solve for x
    x = 44,205,500,696.84/306,498.06
  6. Step 6: Final answer
    x = 144,227.67

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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.