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Finding the Fourth Proportional to 201,417.30, 301,780.35 and 96,009.30

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Solution

The fourth proportional to 201,417.30, 301,780.35 and 96,009.30 is: 143,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,417.30 : 301,780.35 = 96,009.30 : x
  2. Step 2: Convert to fraction form
    201,417.30/301,780.35 = 96,009.30/x
  3. Step 3: Cross multiply
    201,417.30x = 301,780.35 × 96,009.30
  4. Step 4: Simplify right side
    201,417.30x = 28,973,720,157.26
  5. Step 5: Solve for x
    x = 28,973,720,157.26/201,417.30
  6. Step 6: Final answer
    x = 143,849.21

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1.5x scale

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.