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Finding the Fourth Proportional to 201,301.30, 302,535.15 and 197,802.10

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Solution

The fourth proportional to 201,301.30, 302,535.15 and 197,802.10 is: 297,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301.30 : 302,535.15 = 197,802.10 : x
  2. Step 2: Convert to fraction form
    201,301.30/302,535.15 = 197,802.10/x
  3. Step 3: Cross multiply
    201,301.30x = 302,535.15 × 197,802.10
  4. Step 4: Simplify right side
    201,301.30x = 59,842,087,993.82
  5. Step 5: Solve for x
    x = 59,842,087,993.82/201,301.30
  6. Step 6: Final answer
    x = 297,276.21

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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.