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Finding the Fourth Proportional to 193,752, 290,550.24 and 93,830.40

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Solution

The fourth proportional to 193,752, 290,550.24 and 93,830.40 is: 140,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,752 : 290,550.24 = 93,830.40 : x
  2. Step 2: Convert to fraction form
    193,752/290,550.24 = 93,830.40/x
  3. Step 3: Cross multiply
    193,752x = 290,550.24 × 93,830.40
  4. Step 4: Simplify right side
    193,752x = 27,262,445,239.30
  5. Step 5: Solve for x
    x = 27,262,445,239.30/193,752
  6. Step 6: Final answer
    x = 140,707.94

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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.