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Finding the Fourth Proportional to 176,839.32, 265,259.34 and 145,608.96

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Solution

The fourth proportional to 176,839.32, 265,259.34 and 145,608.96 is: 218,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,839.32 : 265,259.34 = 145,608.96 : x
  2. Step 2: Convert to fraction form
    176,839.32/265,259.34 = 145,608.96/x
  3. Step 3: Cross multiply
    176,839.32x = 265,259.34 × 145,608.96
  4. Step 4: Simplify right side
    176,839.32x = 38,624,136,627.69
  5. Step 5: Solve for x
    x = 38,624,136,627.69/176,839.32
  6. Step 6: Final answer
    x = 218,413.74

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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.