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Finding the Fourth Proportional to 259,978.32, 358,777.44 and 146,818.08

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Solution

The fourth proportional to 259,978.32, 358,777.44 and 146,818.08 is: 202,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,978.32 : 358,777.44 = 146,818.08 : x
  2. Step 2: Convert to fraction form
    259,978.32/358,777.44 = 146,818.08/x
  3. Step 3: Cross multiply
    259,978.32x = 358,777.44 × 146,818.08
  4. Step 4: Simplify right side
    259,978.32x = 52,675,014,888.12
  5. Step 5: Solve for x
    x = 52,675,014,888.12/259,978.32
  6. Step 6: Final answer
    x = 202,613.11

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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.