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Finding the Fourth Proportional to 282,551.40, 389,695.42 and 185,854.56

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Solution

The fourth proportional to 282,551.40, 389,695.42 and 185,854.56 is: 256,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,551.40 : 389,695.42 = 185,854.56 : x
  2. Step 2: Convert to fraction form
    282,551.40/389,695.42 = 185,854.56/x
  3. Step 3: Cross multiply
    282,551.40x = 389,695.42 × 185,854.56
  4. Step 4: Simplify right side
    282,551.40x = 72,426,670,818.12
  5. Step 5: Solve for x
    x = 72,426,670,818.12/282,551.40
  6. Step 6: Final answer
    x = 256,330.96

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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.