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Finding the Fourth Proportional to 306,516.18, 459,811.14 and 101,357.76

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Solution

The fourth proportional to 306,516.18, 459,811.14 and 101,357.76 is: 152,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,516.18 : 459,811.14 = 101,357.76 : x
  2. Step 2: Convert to fraction form
    306,516.18/459,811.14 = 101,357.76/x
  3. Step 3: Cross multiply
    306,516.18x = 459,811.14 × 101,357.76
  4. Step 4: Simplify right side
    306,516.18x = 46,605,427,173.45
  5. Step 5: Solve for x
    x = 46,605,427,173.45/306,516.18
  6. Step 6: Final answer
    x = 152,048.83

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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.