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Finding the Fourth Proportional to 259,134.08, 357,482.85 and 151,638.17

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Solution

The fourth proportional to 259,134.08, 357,482.85 and 151,638.17 is: 209,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,134.08 : 357,482.85 = 151,638.17 : x
  2. Step 2: Convert to fraction form
    259,134.08/357,482.85 = 151,638.17/x
  3. Step 3: Cross multiply
    259,134.08x = 357,482.85 × 151,638.17
  4. Step 4: Simplify right side
    259,134.08x = 54,208,045,180.38
  5. Step 5: Solve for x
    x = 54,208,045,180.38/259,134.08
  6. Step 6: Final answer
    x = 209,189.18

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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.