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Finding the Fourth Proportional to 201,606.80, 302,398.02 and 89,254.16

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Solution

The fourth proportional to 201,606.80, 302,398.02 and 89,254.16 is: 133,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,606.80 : 302,398.02 = 89,254.16 : x
  2. Step 2: Convert to fraction form
    201,606.80/302,398.02 = 89,254.16/x
  3. Step 3: Cross multiply
    201,606.80x = 302,398.02 × 89,254.16
  4. Step 4: Simplify right side
    201,606.80x = 26,990,281,260.76
  5. Step 5: Solve for x
    x = 26,990,281,260.76/201,606.80
  6. Step 6: Final answer
    x = 133,875.85

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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.