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Finding the Fourth Proportional to 184,710.98, 254,901.23 and 99,828.05

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Solution

The fourth proportional to 184,710.98, 254,901.23 and 99,828.05 is: 137,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,710.98 : 254,901.23 = 99,828.05 : x
  2. Step 2: Convert to fraction form
    184,710.98/254,901.23 = 99,828.05/x
  3. Step 3: Cross multiply
    184,710.98x = 254,901.23 × 99,828.05
  4. Step 4: Simplify right side
    184,710.98x = 25,446,291,334.21
  5. Step 5: Solve for x
    x = 25,446,291,334.21/184,710.98
  6. Step 6: Final answer
    x = 137,762.74

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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.