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Finding the Fourth Proportional to 176,823, 265,236.93 and 98,091

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Solution

The fourth proportional to 176,823, 265,236.93 and 98,091 is: 147,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,823 : 265,236.93 = 98,091 : x
  2. Step 2: Convert to fraction form
    176,823/265,236.93 = 98,091/x
  3. Step 3: Cross multiply
    176,823x = 265,236.93 × 98,091
  4. Step 4: Simplify right side
    176,823x = 26,017,355,700.63
  5. Step 5: Solve for x
    x = 26,017,355,700.63/176,823
  6. Step 6: Final answer
    x = 147,137.85

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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.