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Finding the Fourth Proportional to 259,742.35, 358,504.11 and 152,346.98

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Solution

The fourth proportional to 259,742.35, 358,504.11 and 152,346.98 is: 210,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,742.35 : 358,504.11 = 152,346.98 : x
  2. Step 2: Convert to fraction form
    259,742.35/358,504.11 = 152,346.98/x
  3. Step 3: Cross multiply
    259,742.35x = 358,504.11 × 152,346.98
  4. Step 4: Simplify right side
    259,742.35x = 54,617,018,476.09
  5. Step 5: Solve for x
    x = 54,617,018,476.09/259,742.35
  6. Step 6: Final answer
    x = 210,273.83

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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.