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Finding the Fourth Proportional to 259,848, 358,590.24 and 140,616

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Solution

The fourth proportional to 259,848, 358,590.24 and 140,616 is: 194,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,848 : 358,590.24 = 140,616 : x
  2. Step 2: Convert to fraction form
    259,848/358,590.24 = 140,616/x
  3. Step 3: Cross multiply
    259,848x = 358,590.24 × 140,616
  4. Step 4: Simplify right side
    259,848x = 50,423,525,187.84
  5. Step 5: Solve for x
    x = 50,423,525,187.84/259,848
  6. Step 6: Final answer
    x = 194,050.08

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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.