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Finding the Fourth Proportional to 261,768.16, 392,647.92 and 64,776.16

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Solution

The fourth proportional to 261,768.16, 392,647.92 and 64,776.16 is: 97,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,768.16 : 392,647.92 = 64,776.16 : x
  2. Step 2: Convert to fraction form
    261,768.16/392,647.92 = 64,776.16/x
  3. Step 3: Cross multiply
    261,768.16x = 392,647.92 × 64,776.16
  4. Step 4: Simplify right side
    261,768.16x = 25,434,224,489.59
  5. Step 5: Solve for x
    x = 25,434,224,489.59/261,768.16
  6. Step 6: Final answer
    x = 97,163.17

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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.