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Finding the Fourth Proportional to 202,095.40, 302,705.70 and 108,491.80

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Solution

The fourth proportional to 202,095.40, 302,705.70 and 108,491.80 is: 162,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,095.40 : 302,705.70 = 108,491.80 : x
  2. Step 2: Convert to fraction form
    202,095.40/302,705.70 = 108,491.80/x
  3. Step 3: Cross multiply
    202,095.40x = 302,705.70 × 108,491.80
  4. Step 4: Simplify right side
    202,095.40x = 32,841,086,263.26
  5. Step 5: Solve for x
    x = 32,841,086,263.26/202,095.40
  6. Step 6: Final answer
    x = 162,502.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.