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Finding the Fourth Proportional to 313,737.48, 470,341.86 and 136,110.84

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Solution

The fourth proportional to 313,737.48, 470,341.86 and 136,110.84 is: 204,051.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,737.48 : 470,341.86 = 136,110.84 : x
  2. Step 2: Convert to fraction form
    313,737.48/470,341.86 = 136,110.84/x
  3. Step 3: Cross multiply
    313,737.48x = 470,341.86 × 136,110.84
  4. Step 4: Simplify right side
    313,737.48x = 64,018,625,651.76
  5. Step 5: Solve for x
    x = 64,018,625,651.76/313,737.48
  6. Step 6: Final answer
    x = 204,051.57

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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.