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Finding the Fourth Proportional to 202,127.40, 302,948.10 and 83,737.80

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Solution

The fourth proportional to 202,127.40, 302,948.10 and 83,737.80 is: 125,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,127.40 : 302,948.10 = 83,737.80 : x
  2. Step 2: Convert to fraction form
    202,127.40/302,948.10 = 83,737.80/x
  3. Step 3: Cross multiply
    202,127.40x = 302,948.10 × 83,737.80
  4. Step 4: Simplify right side
    202,127.40x = 25,368,207,408.18
  5. Step 5: Solve for x
    x = 25,368,207,408.18/202,127.40
  6. Step 6: Final answer
    x = 125,506.03

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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.