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Finding the Fourth Proportional to 176,829, 265,262.40 and 75,637.53

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Solution

The fourth proportional to 176,829, 265,262.40 and 75,637.53 is: 113,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,829 : 265,262.40 = 75,637.53 : x
  2. Step 2: Convert to fraction form
    176,829/265,262.40 = 75,637.53/x
  3. Step 3: Cross multiply
    176,829x = 265,262.40 × 75,637.53
  4. Step 4: Simplify right side
    176,829x = 20,063,792,737.87
  5. Step 5: Solve for x
    x = 20,063,792,737.87/176,829
  6. Step 6: Final answer
    x = 113,464.38

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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.