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Finding the Fourth Proportional to 402,355.22, 603,374.33 and 146,127.21

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Solution

The fourth proportional to 402,355.22, 603,374.33 and 146,127.21 is: 219,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,355.22 : 603,374.33 = 146,127.21 : x
  2. Step 2: Convert to fraction form
    402,355.22/603,374.33 = 146,127.21/x
  3. Step 3: Cross multiply
    402,355.22x = 603,374.33 × 146,127.21
  4. Step 4: Simplify right side
    402,355.22x = 88,169,405,531.18
  5. Step 5: Solve for x
    x = 88,169,405,531.18/402,355.22
  6. Step 6: Final answer
    x = 219,133.25

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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.