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Finding the Fourth Proportional to 157,188.69, 216,920.39 and 85,569.23

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Solution

The fourth proportional to 157,188.69, 216,920.39 and 85,569.23 is: 118,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,188.69 : 216,920.39 = 85,569.23 : x
  2. Step 2: Convert to fraction form
    157,188.69/216,920.39 = 85,569.23/x
  3. Step 3: Cross multiply
    157,188.69x = 216,920.39 × 85,569.23
  4. Step 4: Simplify right side
    157,188.69x = 18,561,710,743.60
  5. Step 5: Solve for x
    x = 18,561,710,743.60/157,188.69
  6. Step 6: Final answer
    x = 118,085.54

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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.