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Finding the Fourth Proportional to 205,115.89, 283,088.46 and 114,477.69

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Solution

The fourth proportional to 205,115.89, 283,088.46 and 114,477.69 is: 157,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,115.89 : 283,088.46 = 114,477.69 : x
  2. Step 2: Convert to fraction form
    205,115.89/283,088.46 = 114,477.69/x
  3. Step 3: Cross multiply
    205,115.89x = 283,088.46 × 114,477.69
  4. Step 4: Simplify right side
    205,115.89x = 32,407,312,966.46
  5. Step 5: Solve for x
    x = 32,407,312,966.46/205,115.89
  6. Step 6: Final answer
    x = 157,995.14

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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.