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Finding the Fourth Proportional to 205,666.40, 308,269.20 and 116,962.40

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Solution

The fourth proportional to 205,666.40, 308,269.20 and 116,962.40 is: 175,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,666.40 : 308,269.20 = 116,962.40 : x
  2. Step 2: Convert to fraction form
    205,666.40/308,269.20 = 116,962.40/x
  3. Step 3: Cross multiply
    205,666.40x = 308,269.20 × 116,962.40
  4. Step 4: Simplify right side
    205,666.40x = 36,055,905,478.08
  5. Step 5: Solve for x
    x = 36,055,905,478.08/205,666.40
  6. Step 6: Final answer
    x = 175,312.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.