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Finding the Fourth Proportional to 286,737.18, 430,193.25 and 146,594.22

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Solution

The fourth proportional to 286,737.18, 430,193.25 and 146,594.22 is: 219,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,737.18 : 430,193.25 = 146,594.22 : x
  2. Step 2: Convert to fraction form
    286,737.18/430,193.25 = 146,594.22/x
  3. Step 3: Cross multiply
    286,737.18x = 430,193.25 × 146,594.22
  4. Step 4: Simplify right side
    286,737.18x = 63,063,843,933.02
  5. Step 5: Solve for x
    x = 63,063,843,933.02/286,737.18
  6. Step 6: Final answer
    x = 219,936.05

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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.