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Finding the Fourth Proportional to 205,368.65, 283,407.38 and 114,723.81

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Solution

The fourth proportional to 205,368.65, 283,407.38 and 114,723.81 is: 158,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,368.65 : 283,407.38 = 114,723.81 : x
  2. Step 2: Convert to fraction form
    205,368.65/283,407.38 = 114,723.81/x
  3. Step 3: Cross multiply
    205,368.65x = 283,407.38 × 114,723.81
  4. Step 4: Simplify right side
    205,368.65x = 32,513,573,842.10
  5. Step 5: Solve for x
    x = 32,513,573,842.10/205,368.65
  6. Step 6: Final answer
    x = 158,318.10

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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.