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Finding the Fourth Proportional to 176,706.96, 243,762.66 and 105,036

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Solution

The fourth proportional to 176,706.96, 243,762.66 and 105,036 is: 144,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,706.96 : 243,762.66 = 105,036 : x
  2. Step 2: Convert to fraction form
    176,706.96/243,762.66 = 105,036/x
  3. Step 3: Cross multiply
    176,706.96x = 243,762.66 × 105,036
  4. Step 4: Simplify right side
    176,706.96x = 25,603,854,755.76
  5. Step 5: Solve for x
    x = 25,603,854,755.76/176,706.96
  6. Step 6: Final answer
    x = 144,894.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.