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Finding the Fourth Proportional to 313,099.98, 469,718.04 and 102,730.02

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Solution

The fourth proportional to 313,099.98, 469,718.04 and 102,730.02 is: 154,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,099.98 : 469,718.04 = 102,730.02 : x
  2. Step 2: Convert to fraction form
    313,099.98/469,718.04 = 102,730.02/x
  3. Step 3: Cross multiply
    313,099.98x = 469,718.04 × 102,730.02
  4. Step 4: Simplify right side
    313,099.98x = 48,254,143,643.56
  5. Step 5: Solve for x
    x = 48,254,143,643.56/313,099.98
  6. Step 6: Final answer
    x = 154,117.36

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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.