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Finding the Fourth Proportional to 205,373.84, 283,412.77 and 114,731.10

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Solution

The fourth proportional to 205,373.84, 283,412.77 and 114,731.10 is: 158,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,373.84 : 283,412.77 = 114,731.10 : x
  2. Step 2: Convert to fraction form
    205,373.84/283,412.77 = 114,731.10/x
  3. Step 3: Cross multiply
    205,373.84x = 283,412.77 × 114,731.10
  4. Step 4: Simplify right side
    205,373.84x = 32,516,258,569.32
  5. Step 5: Solve for x
    x = 32,516,258,569.32/205,373.84
  6. Step 6: Final answer
    x = 158,327.17

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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.