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Finding the Fourth Proportional to 302,126.95, 416,902.51 and 174,778.75

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Solution

The fourth proportional to 302,126.95, 416,902.51 and 174,778.75 is: 241,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,126.95 : 416,902.51 = 174,778.75 : x
  2. Step 2: Convert to fraction form
    302,126.95/416,902.51 = 174,778.75/x
  3. Step 3: Cross multiply
    302,126.95x = 416,902.51 × 174,778.75
  4. Step 4: Simplify right side
    302,126.95x = 72,865,699,569.66
  5. Step 5: Solve for x
    x = 72,865,699,569.66/302,126.95
  6. Step 6: Final answer
    x = 241,175.77

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