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Finding the Fourth Proportional to 176,430.63, 264,645.54 and 76,577.88

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Solution

The fourth proportional to 176,430.63, 264,645.54 and 76,577.88 is: 114,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,430.63 : 264,645.54 = 76,577.88 : x
  2. Step 2: Convert to fraction form
    176,430.63/264,645.54 = 76,577.88/x
  3. Step 3: Cross multiply
    176,430.63x = 264,645.54 × 76,577.88
  4. Step 4: Simplify right side
    176,430.63x = 20,265,994,404.66
  5. Step 5: Solve for x
    x = 20,265,994,404.66/176,430.63
  6. Step 6: Final answer
    x = 114,866.64

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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.