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Finding the Fourth Proportional to 259,409.88, 357,991.10 and 146,232.63

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Solution

The fourth proportional to 259,409.88, 357,991.10 and 146,232.63 is: 201,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,409.88 : 357,991.10 = 146,232.63 : x
  2. Step 2: Convert to fraction form
    259,409.88/357,991.10 = 146,232.63/x
  3. Step 3: Cross multiply
    259,409.88x = 357,991.10 × 146,232.63
  4. Step 4: Simplify right side
    259,409.88x = 52,349,980,069.59
  5. Step 5: Solve for x
    x = 52,349,980,069.59/259,409.88
  6. Step 6: Final answer
    x = 201,804.11

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1.5x scale

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.