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Finding the Fourth Proportional to 148,916.40, 205,433.04 and 85,216.38

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Solution

The fourth proportional to 148,916.40, 205,433.04 and 85,216.38 is: 117,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,916.40 : 205,433.04 = 85,216.38 : x
  2. Step 2: Convert to fraction form
    148,916.40/205,433.04 = 85,216.38/x
  3. Step 3: Cross multiply
    148,916.40x = 205,433.04 × 85,216.38
  4. Step 4: Simplify right side
    148,916.40x = 17,506,260,001.20
  5. Step 5: Solve for x
    x = 17,506,260,001.20/148,916.40
  6. Step 6: Final answer
    x = 117,557.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.