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Finding the Fourth Proportional to 208,988.65, 288,492.60 and 141,097.57

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Solution

The fourth proportional to 208,988.65, 288,492.60 and 141,097.57 is: 194,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,988.65 : 288,492.60 = 141,097.57 : x
  2. Step 2: Convert to fraction form
    208,988.65/288,492.60 = 141,097.57/x
  3. Step 3: Cross multiply
    208,988.65x = 288,492.60 × 141,097.57
  4. Step 4: Simplify right side
    208,988.65x = 40,705,604,822.98
  5. Step 5: Solve for x
    x = 40,705,604,822.98/208,988.65
  6. Step 6: Final answer
    x = 194,774.24

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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.