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Finding the Fourth Proportional to 374,206.30, 561,730.10 and 149,725.10

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Solution

The fourth proportional to 374,206.30, 561,730.10 and 149,725.10 is: 224,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,206.30 : 561,730.10 = 149,725.10 : x
  2. Step 2: Convert to fraction form
    374,206.30/561,730.10 = 149,725.10/x
  3. Step 3: Cross multiply
    374,206.30x = 561,730.10 × 149,725.10
  4. Step 4: Simplify right side
    374,206.30x = 84,105,095,395.51
  5. Step 5: Solve for x
    x = 84,105,095,395.51/374,206.30
  6. Step 6: Final answer
    x = 224,755.96

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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.