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Finding the Fourth Proportional to 201,695.60, 302,403.36 and 89,314.58

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Solution

The fourth proportional to 201,695.60, 302,403.36 and 89,314.58 is: 133,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,695.60 : 302,403.36 = 89,314.58 : x
  2. Step 2: Convert to fraction form
    201,695.60/302,403.36 = 89,314.58/x
  3. Step 3: Cross multiply
    201,695.60x = 302,403.36 × 89,314.58
  4. Step 4: Simplify right side
    201,695.60x = 27,009,029,088.99
  5. Step 5: Solve for x
    x = 27,009,029,088.99/201,695.60
  6. Step 6: Final answer
    x = 133,909.86

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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.