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Finding the Fourth Proportional to 205,368.83, 283,407.63 and 114,724.01

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Solution

The fourth proportional to 205,368.83, 283,407.63 and 114,724.01 is: 158,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,368.83 : 283,407.63 = 114,724.01 : x
  2. Step 2: Convert to fraction form
    205,368.83/283,407.63 = 114,724.01/x
  3. Step 3: Cross multiply
    205,368.83x = 283,407.63 × 114,724.01
  4. Step 4: Simplify right side
    205,368.83x = 32,513,658,361.16
  5. Step 5: Solve for x
    x = 32,513,658,361.16/205,368.83
  6. Step 6: Final answer
    x = 158,318.37

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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.