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Finding the Fourth Proportional to 259,608.50, 358,264.40 and 152,255.96

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Solution

The fourth proportional to 259,608.50, 358,264.40 and 152,255.96 is: 210,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,608.50 : 358,264.40 = 152,255.96 : x
  2. Step 2: Convert to fraction form
    259,608.50/358,264.40 = 152,255.96/x
  3. Step 3: Cross multiply
    259,608.50x = 358,264.40 × 152,255.96
  4. Step 4: Simplify right side
    259,608.50x = 54,547,890,155.82
  5. Step 5: Solve for x
    x = 54,547,890,155.82/259,608.50
  6. Step 6: Final answer
    x = 210,115.96

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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.