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Finding the Fourth Proportional to 149,075.40, 223,029.90 and 96,587.40

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Solution

The fourth proportional to 149,075.40, 223,029.90 and 96,587.40 is: 144,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,075.40 : 223,029.90 = 96,587.40 : x
  2. Step 2: Convert to fraction form
    149,075.40/223,029.90 = 96,587.40/x
  3. Step 3: Cross multiply
    149,075.40x = 223,029.90 × 96,587.40
  4. Step 4: Simplify right side
    149,075.40x = 21,541,878,163.26
  5. Step 5: Solve for x
    x = 21,541,878,163.26/149,075.40
  6. Step 6: Final answer
    x = 144,503.24

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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.