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Finding the Fourth Proportional to 201,686.46, 302,459.16 and 59,494.02

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Solution

The fourth proportional to 201,686.46, 302,459.16 and 59,494.02 is: 89,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,686.46 : 302,459.16 = 59,494.02 : x
  2. Step 2: Convert to fraction form
    201,686.46/302,459.16 = 59,494.02/x
  3. Step 3: Cross multiply
    201,686.46x = 302,459.16 × 59,494.02
  4. Step 4: Simplify right side
    201,686.46x = 17,994,511,314.22
  5. Step 5: Solve for x
    x = 17,994,511,314.22/201,686.46
  6. Step 6: Final answer
    x = 89,220.22

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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.