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Finding the Fourth Proportional to 208,909.83, 288,302.19 and 118,264.15

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Solution

The fourth proportional to 208,909.83, 288,302.19 and 118,264.15 is: 163,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,909.83 : 288,302.19 = 118,264.15 : x
  2. Step 2: Convert to fraction form
    208,909.83/288,302.19 = 118,264.15/x
  3. Step 3: Cross multiply
    208,909.83x = 288,302.19 × 118,264.15
  4. Step 4: Simplify right side
    208,909.83x = 34,095,813,360.38
  5. Step 5: Solve for x
    x = 34,095,813,360.38/208,909.83
  6. Step 6: Final answer
    x = 163,208.27

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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.