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Finding the Fourth Proportional to 202,594.34, 303,927.16 and 77,925.62

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Solution

The fourth proportional to 202,594.34, 303,927.16 and 77,925.62 is: 116,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,594.34 : 303,927.16 = 77,925.62 : x
  2. Step 2: Convert to fraction form
    202,594.34/303,927.16 = 77,925.62/x
  3. Step 3: Cross multiply
    202,594.34x = 303,927.16 × 77,925.62
  4. Step 4: Simplify right side
    202,594.34x = 23,683,712,377.84
  5. Step 5: Solve for x
    x = 23,683,712,377.84/202,594.34
  6. Step 6: Final answer
    x = 116,902.14

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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.