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Finding the Fourth Proportional to 208,708.64, 288,017.90 and 118,062.66

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Solution

The fourth proportional to 208,708.64, 288,017.90 and 118,062.66 is: 162,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,708.64 : 288,017.90 = 118,062.66 : x
  2. Step 2: Convert to fraction form
    208,708.64/288,017.90 = 118,062.66/x
  3. Step 3: Cross multiply
    208,708.64x = 288,017.90 × 118,062.66
  4. Step 4: Simplify right side
    208,708.64x = 34,004,159,401.61
  5. Step 5: Solve for x
    x = 34,004,159,401.61/208,708.64
  6. Step 6: Final answer
    x = 162,926.46

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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.