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Finding the Fourth Proportional to 259,095.84, 357,577.76 and 151,659.36

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Solution

The fourth proportional to 259,095.84, 357,577.76 and 151,659.36 is: 209,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,095.84 : 357,577.76 = 151,659.36 : x
  2. Step 2: Convert to fraction form
    259,095.84/357,577.76 = 151,659.36/x
  3. Step 3: Cross multiply
    259,095.84x = 357,577.76 × 151,659.36
  4. Step 4: Simplify right side
    259,095.84x = 54,230,014,231.83
  5. Step 5: Solve for x
    x = 54,230,014,231.83/259,095.84
  6. Step 6: Final answer
    x = 209,304.84

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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.