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Finding the Fourth Proportional to 259,097.48, 357,644 and 151,702

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Solution

The fourth proportional to 259,097.48, 357,644 and 151,702 is: 209,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,097.48 : 357,644 = 151,702 : x
  2. Step 2: Convert to fraction form
    259,097.48/357,644 = 151,702/x
  3. Step 3: Cross multiply
    259,097.48x = 357,644 × 151,702
  4. Step 4: Simplify right side
    259,097.48x = 54,255,310,088
  5. Step 5: Solve for x
    x = 54,255,310,088/259,097.48
  6. Step 6: Final answer
    x = 209,401.15

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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.