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Finding the Fourth Proportional to 201,222.10, 302,416.35 and 175,561.30

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Solution

The fourth proportional to 201,222.10, 302,416.35 and 175,561.30 is: 263,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222.10 : 302,416.35 = 175,561.30 : x
  2. Step 2: Convert to fraction form
    201,222.10/302,416.35 = 175,561.30/x
  3. Step 3: Cross multiply
    201,222.10x = 302,416.35 × 175,561.30
  4. Step 4: Simplify right side
    201,222.10x = 53,092,607,547.26
  5. Step 5: Solve for x
    x = 53,092,607,547.26/201,222.10
  6. Step 6: Final answer
    x = 263,850.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.