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Finding the Fourth Proportional to 363,412.53, 545,075.86 and 97,193.68

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Solution

The fourth proportional to 363,412.53, 545,075.86 and 97,193.68 is: 145,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,412.53 : 545,075.86 = 97,193.68 : x
  2. Step 2: Convert to fraction form
    363,412.53/545,075.86 = 97,193.68/x
  3. Step 3: Cross multiply
    363,412.53x = 545,075.86 × 97,193.68
  4. Step 4: Simplify right side
    363,412.53x = 52,977,928,712.56
  5. Step 5: Solve for x
    x = 52,977,928,712.56/363,412.53
  6. Step 6: Final answer
    x = 145,779.04

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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.