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Finding the Fourth Proportional to 205,688.16, 283,765.92 and 134,042.08

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Solution

The fourth proportional to 205,688.16, 283,765.92 and 134,042.08 is: 184,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,688.16 : 283,765.92 = 134,042.08 : x
  2. Step 2: Convert to fraction form
    205,688.16/283,765.92 = 134,042.08/x
  3. Step 3: Cross multiply
    205,688.16x = 283,765.92 × 134,042.08
  4. Step 4: Simplify right side
    205,688.16x = 38,036,574,149.91
  5. Step 5: Solve for x
    x = 38,036,574,149.91/205,688.16
  6. Step 6: Final answer
    x = 184,923.50

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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.