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Finding the Fourth Proportional to 176,071.56, 264,130.86 and 51,410.76

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Solution

The fourth proportional to 176,071.56, 264,130.86 and 51,410.76 is: 77,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,071.56 : 264,130.86 = 51,410.76 : x
  2. Step 2: Convert to fraction form
    176,071.56/264,130.86 = 51,410.76/x
  3. Step 3: Cross multiply
    176,071.56x = 264,130.86 × 51,410.76
  4. Step 4: Simplify right side
    176,071.56x = 13,579,168,252.05
  5. Step 5: Solve for x
    x = 13,579,168,252.05/176,071.56
  6. Step 6: Final answer
    x = 77,123.01

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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.