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Finding the Fourth Proportional to 176,380.83, 264,588.76 and 56,407.64

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Solution

The fourth proportional to 176,380.83, 264,588.76 and 56,407.64 is: 84,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,380.83 : 264,588.76 = 56,407.64 : x
  2. Step 2: Convert to fraction form
    176,380.83/264,588.76 = 56,407.64/x
  3. Step 3: Cross multiply
    176,380.83x = 264,588.76 × 56,407.64
  4. Step 4: Simplify right side
    176,380.83x = 14,924,827,522.13
  5. Step 5: Solve for x
    x = 14,924,827,522.13/176,380.83
  6. Step 6: Final answer
    x = 84,617.06

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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.