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Finding the Fourth Proportional to 202,014, 303,064.74 and 77,355

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Solution

The fourth proportional to 202,014, 303,064.74 and 77,355 is: 116,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,014 : 303,064.74 = 77,355 : x
  2. Step 2: Convert to fraction form
    202,014/303,064.74 = 77,355/x
  3. Step 3: Cross multiply
    202,014x = 303,064.74 × 77,355
  4. Step 4: Simplify right side
    202,014x = 23,443,572,962.70
  5. Step 5: Solve for x
    x = 23,443,572,962.70/202,014
  6. Step 6: Final answer
    x = 116,049.25

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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.