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Finding the Fourth Proportional to 201,026.40, 301,539.60 and 96,050.40

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Solution

The fourth proportional to 201,026.40, 301,539.60 and 96,050.40 is: 144,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,026.40 : 301,539.60 = 96,050.40 : x
  2. Step 2: Convert to fraction form
    201,026.40/301,539.60 = 96,050.40/x
  3. Step 3: Cross multiply
    201,026.40x = 301,539.60 × 96,050.40
  4. Step 4: Simplify right side
    201,026.40x = 28,962,999,195.84
  5. Step 5: Solve for x
    x = 28,962,999,195.84/201,026.40
  6. Step 6: Final answer
    x = 144,075.60

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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.