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Finding the Fourth Proportional to 208,248.64, 287,168.32 and 178,133.65

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Solution

The fourth proportional to 208,248.64, 287,168.32 and 178,133.65 is: 245,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,248.64 : 287,168.32 = 178,133.65 : x
  2. Step 2: Convert to fraction form
    208,248.64/287,168.32 = 178,133.65/x
  3. Step 3: Cross multiply
    208,248.64x = 287,168.32 × 178,133.65
  4. Step 4: Simplify right side
    208,248.64x = 51,154,340,510.71
  5. Step 5: Solve for x
    x = 51,154,340,510.71/208,248.64
  6. Step 6: Final answer
    x = 245,640.70

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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.