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Finding the Fourth Proportional to 176,518.64, 264,894.60 and 83,031.68

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Solution

The fourth proportional to 176,518.64, 264,894.60 and 83,031.68 is: 124,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,518.64 : 264,894.60 = 83,031.68 : x
  2. Step 2: Convert to fraction form
    176,518.64/264,894.60 = 83,031.68/x
  3. Step 3: Cross multiply
    176,518.64x = 264,894.60 × 83,031.68
  4. Step 4: Simplify right side
    176,518.64x = 21,994,643,660.93
  5. Step 5: Solve for x
    x = 21,994,643,660.93/176,518.64
  6. Step 6: Final answer
    x = 124,602.39

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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.