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Finding the Fourth Proportional to 156,742.84, 216,371.30 and 105,824.51

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Solution

The fourth proportional to 156,742.84, 216,371.30 and 105,824.51 is: 146,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742.84 : 216,371.30 = 105,824.51 : x
  2. Step 2: Convert to fraction form
    156,742.84/216,371.30 = 105,824.51/x
  3. Step 3: Cross multiply
    156,742.84x = 216,371.30 × 105,824.51
  4. Step 4: Simplify right side
    156,742.84x = 22,897,385,189.58
  5. Step 5: Solve for x
    x = 22,897,385,189.58/156,742.84
  6. Step 6: Final answer
    x = 146,082.50

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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.