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Finding the Fourth Proportional to 157,021.89, 216,641.32 and 89,033.50

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Solution

The fourth proportional to 157,021.89, 216,641.32 and 89,033.50 is: 122,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,021.89 : 216,641.32 = 89,033.50 : x
  2. Step 2: Convert to fraction form
    157,021.89/216,641.32 = 89,033.50/x
  3. Step 3: Cross multiply
    157,021.89x = 216,641.32 × 89,033.50
  4. Step 4: Simplify right side
    157,021.89x = 19,288,334,964.22
  5. Step 5: Solve for x
    x = 19,288,334,964.22/157,021.89
  6. Step 6: Final answer
    x = 122,838.51

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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.