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Finding the Fourth Proportional to 261,526.94, 392,441.76 and 109,710.42

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Solution

The fourth proportional to 261,526.94, 392,441.76 and 109,710.42 is: 164,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,526.94 : 392,441.76 = 109,710.42 : x
  2. Step 2: Convert to fraction form
    261,526.94/392,441.76 = 109,710.42/x
  3. Step 3: Cross multiply
    261,526.94x = 392,441.76 × 109,710.42
  4. Step 4: Simplify right side
    261,526.94x = 43,054,950,315.14
  5. Step 5: Solve for x
    x = 43,054,950,315.14/261,526.94
  6. Step 6: Final answer
    x = 164,629.12

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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.