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Finding the Fourth Proportional to 133,615.36, 184,388.80 and 77,026.24

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Solution

The fourth proportional to 133,615.36, 184,388.80 and 77,026.24 is: 106,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,615.36 : 184,388.80 = 77,026.24 : x
  2. Step 2: Convert to fraction form
    133,615.36/184,388.80 = 77,026.24/x
  3. Step 3: Cross multiply
    133,615.36x = 184,388.80 × 77,026.24
  4. Step 4: Simplify right side
    133,615.36x = 14,202,775,962.11
  5. Step 5: Solve for x
    x = 14,202,775,962.11/133,615.36
  6. Step 6: Final answer
    x = 106,295.98

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1.5x scale

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.