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Finding the Fourth Proportional to 176,633.84, 264,950.76 and 102,710

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Solution

The fourth proportional to 176,633.84, 264,950.76 and 102,710 is: 154,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,633.84 : 264,950.76 = 102,710 : x
  2. Step 2: Convert to fraction form
    176,633.84/264,950.76 = 102,710/x
  3. Step 3: Cross multiply
    176,633.84x = 264,950.76 × 102,710
  4. Step 4: Simplify right side
    176,633.84x = 27,213,092,559.60
  5. Step 5: Solve for x
    x = 27,213,092,559.60/176,633.84
  6. Step 6: Final answer
    x = 154,065.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.