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Finding the Fourth Proportional to 423,293.04, 634,943.12 and 107,750

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Solution

The fourth proportional to 423,293.04, 634,943.12 and 107,750 is: 161,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,293.04 : 634,943.12 = 107,750 : x
  2. Step 2: Convert to fraction form
    423,293.04/634,943.12 = 107,750/x
  3. Step 3: Cross multiply
    423,293.04x = 634,943.12 × 107,750
  4. Step 4: Simplify right side
    423,293.04x = 68,415,121,180
  5. Step 5: Solve for x
    x = 68,415,121,180/423,293.04
  6. Step 6: Final answer
    x = 161,625.91

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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.