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Finding the Fourth Proportional to 176,751.06, 264,969.42 and 64,410.14

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Solution

The fourth proportional to 176,751.06, 264,969.42 and 64,410.14 is: 96,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,751.06 : 264,969.42 = 64,410.14 : x
  2. Step 2: Convert to fraction form
    176,751.06/264,969.42 = 64,410.14/x
  3. Step 3: Cross multiply
    176,751.06x = 264,969.42 × 64,410.14
  4. Step 4: Simplify right side
    176,751.06x = 17,066,717,437.92
  5. Step 5: Solve for x
    x = 17,066,717,437.92/176,751.06
  6. Step 6: Final answer
    x = 96,557.94

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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.