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Finding the Fourth Proportional to 205,870.70, 308,594.63 and 116,934.32

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Solution

The fourth proportional to 205,870.70, 308,594.63 and 116,934.32 is: 175,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,870.70 : 308,594.63 = 116,934.32 : x
  2. Step 2: Convert to fraction form
    205,870.70/308,594.63 = 116,934.32/x
  3. Step 3: Cross multiply
    205,870.70x = 308,594.63 × 116,934.32
  4. Step 4: Simplify right side
    205,870.70x = 36,085,301,087.06
  5. Step 5: Solve for x
    x = 36,085,301,087.06/205,870.70
  6. Step 6: Final answer
    x = 175,281.39

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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.