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Finding the Fourth Proportional to 202,032.68, 303,083.04 and 61,758.50

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Solution

The fourth proportional to 202,032.68, 303,083.04 and 61,758.50 is: 92,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,032.68 : 303,083.04 = 61,758.50 : x
  2. Step 2: Convert to fraction form
    202,032.68/303,083.04 = 61,758.50/x
  3. Step 3: Cross multiply
    202,032.68x = 303,083.04 × 61,758.50
  4. Step 4: Simplify right side
    202,032.68x = 18,717,953,925.84
  5. Step 5: Solve for x
    x = 18,717,953,925.84/202,032.68
  6. Step 6: Final answer
    x = 92,648.15

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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.