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Finding the Fourth Proportional to 178,117.38, 245,804.76 and 97,543.44

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Solution

The fourth proportional to 178,117.38, 245,804.76 and 97,543.44 is: 134,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,117.38 : 245,804.76 = 97,543.44 : x
  2. Step 2: Convert to fraction form
    178,117.38/245,804.76 = 97,543.44/x
  3. Step 3: Cross multiply
    178,117.38x = 245,804.76 × 97,543.44
  4. Step 4: Simplify right side
    178,117.38x = 23,976,641,858.77
  5. Step 5: Solve for x
    x = 23,976,641,858.77/178,117.38
  6. Step 6: Final answer
    x = 134,611.47

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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.