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Finding the Fourth Proportional to 259,256.88, 357,811.56 and 146,090.16

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Solution

The fourth proportional to 259,256.88, 357,811.56 and 146,090.16 is: 201,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,256.88 : 357,811.56 = 146,090.16 : x
  2. Step 2: Convert to fraction form
    259,256.88/357,811.56 = 146,090.16/x
  3. Step 3: Cross multiply
    259,256.88x = 357,811.56 × 146,090.16
  4. Step 4: Simplify right side
    259,256.88x = 52,272,748,050.25
  5. Step 5: Solve for x
    x = 52,272,748,050.25/259,256.88
  6. Step 6: Final answer
    x = 201,625.31

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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.