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Finding the Fourth Proportional to 160,645.84, 221,715.68 and 102,527.65

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Solution

The fourth proportional to 160,645.84, 221,715.68 and 102,527.65 is: 141,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,645.84 : 221,715.68 = 102,527.65 : x
  2. Step 2: Convert to fraction form
    160,645.84/221,715.68 = 102,527.65/x
  3. Step 3: Cross multiply
    160,645.84x = 221,715.68 × 102,527.65
  4. Step 4: Simplify right side
    160,645.84x = 22,731,986,732.63
  5. Step 5: Solve for x
    x = 22,731,986,732.63/160,645.84
  6. Step 6: Final answer
    x = 141,503.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.