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Finding the Fourth Proportional to 292,354.84, 438,495.81 and 82,009.18

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Solution

The fourth proportional to 292,354.84, 438,495.81 and 82,009.18 is: 123,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,354.84 : 438,495.81 = 82,009.18 : x
  2. Step 2: Convert to fraction form
    292,354.84/438,495.81 = 82,009.18/x
  3. Step 3: Cross multiply
    292,354.84x = 438,495.81 × 82,009.18
  4. Step 4: Simplify right side
    292,354.84x = 35,960,681,811.54
  5. Step 5: Solve for x
    x = 35,960,681,811.54/292,354.84
  6. Step 6: Final answer
    x = 123,003.55

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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.