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Finding the Fourth Proportional to 176,477.93, 264,723.10 and 56,538.53

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Solution

The fourth proportional to 176,477.93, 264,723.10 and 56,538.53 is: 84,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,477.93 : 264,723.10 = 56,538.53 : x
  2. Step 2: Convert to fraction form
    176,477.93/264,723.10 = 56,538.53/x
  3. Step 3: Cross multiply
    176,477.93x = 264,723.10 × 56,538.53
  4. Step 4: Simplify right side
    176,477.93x = 14,967,053,466.08
  5. Step 5: Solve for x
    x = 14,967,053,466.08/176,477.93
  6. Step 6: Final answer
    x = 84,809.78

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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.