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Finding the Fourth Proportional to 259,105.50, 357,655.08 and 151,710.06

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Solution

The fourth proportional to 259,105.50, 357,655.08 and 151,710.06 is: 209,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,105.50 : 357,655.08 = 151,710.06 : x
  2. Step 2: Convert to fraction form
    259,105.50/357,655.08 = 151,710.06/x
  3. Step 3: Cross multiply
    259,105.50x = 357,655.08 × 151,710.06
  4. Step 4: Simplify right side
    259,105.50x = 54,259,873,646.10
  5. Step 5: Solve for x
    x = 54,259,873,646.10/259,105.50
  6. Step 6: Final answer
    x = 209,412.28

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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.