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Finding the Fourth Proportional to 201,284.90, 302,009.34 and 101,473.88

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Solution

The fourth proportional to 201,284.90, 302,009.34 and 101,473.88 is: 152,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284.90 : 302,009.34 = 101,473.88 : x
  2. Step 2: Convert to fraction form
    201,284.90/302,009.34 = 101,473.88/x
  3. Step 3: Cross multiply
    201,284.90x = 302,009.34 × 101,473.88
  4. Step 4: Simplify right side
    201,284.90x = 30,646,059,526.04
  5. Step 5: Solve for x
    x = 30,646,059,526.04/201,284.90
  6. Step 6: Final answer
    x = 152,252.15

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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.