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Finding the Fourth Proportional to 184,644.92, 254,810.16 and 99,762.14

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Solution

The fourth proportional to 184,644.92, 254,810.16 and 99,762.14 is: 137,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,644.92 : 254,810.16 = 99,762.14 : x
  2. Step 2: Convert to fraction form
    184,644.92/254,810.16 = 99,762.14/x
  3. Step 3: Cross multiply
    184,644.92x = 254,810.16 × 99,762.14
  4. Step 4: Simplify right side
    184,644.92x = 25,420,406,855.34
  5. Step 5: Solve for x
    x = 25,420,406,855.34/184,644.92
  6. Step 6: Final answer
    x = 137,671.85

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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.