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Finding the Fourth Proportional to 176,458.16, 243,413.70 and 108,427.88

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Solution

The fourth proportional to 176,458.16, 243,413.70 and 108,427.88 is: 149,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,458.16 : 243,413.70 = 108,427.88 : x
  2. Step 2: Convert to fraction form
    176,458.16/243,413.70 = 108,427.88/x
  3. Step 3: Cross multiply
    176,458.16x = 243,413.70 × 108,427.88
  4. Step 4: Simplify right side
    176,458.16x = 26,392,831,453.96
  5. Step 5: Solve for x
    x = 26,392,831,453.96/176,458.16
  6. Step 6: Final answer
    x = 149,569.91

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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.