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Finding the Fourth Proportional to 205,278.40, 283,361.88 and 176,482.72

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Solution

The fourth proportional to 205,278.40, 283,361.88 and 176,482.72 is: 243,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,278.40 : 283,361.88 = 176,482.72 : x
  2. Step 2: Convert to fraction form
    205,278.40/283,361.88 = 176,482.72/x
  3. Step 3: Cross multiply
    205,278.40x = 283,361.88 × 176,482.72
  4. Step 4: Simplify right side
    205,278.40x = 50,008,475,326.71
  5. Step 5: Solve for x
    x = 50,008,475,326.71/205,278.40
  6. Step 6: Final answer
    x = 243,612.94

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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.