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Finding the Fourth Proportional to 421,377.34, 632,084.47 and 121,888.20

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Solution

The fourth proportional to 421,377.34, 632,084.47 and 121,888.20 is: 182,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,377.34 : 632,084.47 = 121,888.20 : x
  2. Step 2: Convert to fraction form
    421,377.34/632,084.47 = 121,888.20/x
  3. Step 3: Cross multiply
    421,377.34x = 632,084.47 × 121,888.20
  4. Step 4: Simplify right side
    421,377.34x = 77,043,638,296.25
  5. Step 5: Solve for x
    x = 77,043,638,296.25/421,377.34
  6. Step 6: Final answer
    x = 182,837.64

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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.