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Finding the Fourth Proportional to 176,406.75, 264,613.65 and 56,486.58

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Solution

The fourth proportional to 176,406.75, 264,613.65 and 56,486.58 is: 84,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,406.75 : 264,613.65 = 56,486.58 : x
  2. Step 2: Convert to fraction form
    176,406.75/264,613.65 = 56,486.58/x
  3. Step 3: Cross multiply
    176,406.75x = 264,613.65 × 56,486.58
  4. Step 4: Simplify right side
    176,406.75x = 14,947,120,109.82
  5. Step 5: Solve for x
    x = 14,947,120,109.82/176,406.75
  6. Step 6: Final answer
    x = 84,731.00

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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.