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Finding the Fourth Proportional to 243,414.51, 365,156.33 and 74,948.84

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Solution

The fourth proportional to 243,414.51, 365,156.33 and 74,948.84 is: 112,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,414.51 : 365,156.33 = 74,948.84 : x
  2. Step 2: Convert to fraction form
    243,414.51/365,156.33 = 74,948.84/x
  3. Step 3: Cross multiply
    243,414.51x = 365,156.33 × 74,948.84
  4. Step 4: Simplify right side
    243,414.51x = 27,368,041,151.63
  5. Step 5: Solve for x
    x = 27,368,041,151.63/243,414.51
  6. Step 6: Final answer
    x = 112,433.89

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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.