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Finding the Fourth Proportional to 282,042.96, 389,074.34 and 185,232.93

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Solution

The fourth proportional to 282,042.96, 389,074.34 and 185,232.93 is: 255,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,042.96 : 389,074.34 = 185,232.93 : x
  2. Step 2: Convert to fraction form
    282,042.96/389,074.34 = 185,232.93/x
  3. Step 3: Cross multiply
    282,042.96x = 389,074.34 × 185,232.93
  4. Step 4: Simplify right side
    282,042.96x = 72,069,377,948.13
  5. Step 5: Solve for x
    x = 72,069,377,948.13/282,042.96
  6. Step 6: Final answer
    x = 255,526.24

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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.