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Finding the Fourth Proportional to 255,207.42, 382,837.32 and 97,568.46

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Solution

The fourth proportional to 255,207.42, 382,837.32 and 97,568.46 is: 146,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,207.42 : 382,837.32 = 97,568.46 : x
  2. Step 2: Convert to fraction form
    255,207.42/382,837.32 = 97,568.46/x
  3. Step 3: Cross multiply
    255,207.42x = 382,837.32 × 97,568.46
  4. Step 4: Simplify right side
    255,207.42x = 37,352,847,742.93
  5. Step 5: Solve for x
    x = 37,352,847,742.93/255,207.42
  6. Step 6: Final answer
    x = 146,362.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.