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Finding the Fourth Proportional to 208,812.66, 287,971.56 and 176,614.89

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Solution

The fourth proportional to 208,812.66, 287,971.56 and 176,614.89 is: 243,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,812.66 : 287,971.56 = 176,614.89 : x
  2. Step 2: Convert to fraction form
    208,812.66/287,971.56 = 176,614.89/x
  3. Step 3: Cross multiply
    208,812.66x = 287,971.56 × 176,614.89
  4. Step 4: Simplify right side
    208,812.66x = 50,860,065,392.53
  5. Step 5: Solve for x
    x = 50,860,065,392.53/208,812.66
  6. Step 6: Final answer
    x = 243,567.92

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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.