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Finding the Fourth Proportional to 259,017.55, 357,438.78 and 144,296.03

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Solution

The fourth proportional to 259,017.55, 357,438.78 and 144,296.03 is: 199,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,017.55 : 357,438.78 = 144,296.03 : x
  2. Step 2: Convert to fraction form
    259,017.55/357,438.78 = 144,296.03/x
  3. Step 3: Cross multiply
    259,017.55x = 357,438.78 × 144,296.03
  4. Step 4: Simplify right side
    259,017.55x = 51,576,997,815.64
  5. Step 5: Solve for x
    x = 51,576,997,815.64/259,017.55
  6. Step 6: Final answer
    x = 199,125.50

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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.