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Finding the Fourth Proportional to 201,655.20, 302,482.80 and 181,610.40

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Solution

The fourth proportional to 201,655.20, 302,482.80 and 181,610.40 is: 272,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,655.20 : 302,482.80 = 181,610.40 : x
  2. Step 2: Convert to fraction form
    201,655.20/302,482.80 = 181,610.40/x
  3. Step 3: Cross multiply
    201,655.20x = 302,482.80 × 181,610.40
  4. Step 4: Simplify right side
    201,655.20x = 54,934,022,301.12
  5. Step 5: Solve for x
    x = 54,934,022,301.12/201,655.20
  6. Step 6: Final answer
    x = 272,415.60

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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.