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Finding the Fourth Proportional to 205,774.93, 283,970.66 and 115,130.87

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Solution

The fourth proportional to 205,774.93, 283,970.66 and 115,130.87 is: 158,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,774.93 : 283,970.66 = 115,130.87 : x
  2. Step 2: Convert to fraction form
    205,774.93/283,970.66 = 115,130.87/x
  3. Step 3: Cross multiply
    205,774.93x = 283,970.66 × 115,130.87
  4. Step 4: Simplify right side
    205,774.93x = 32,693,788,857.27
  5. Step 5: Solve for x
    x = 32,693,788,857.27/205,774.93
  6. Step 6: Final answer
    x = 158,881.30

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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.