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Finding the Fourth Proportional to 464,492.81, 696,856.30 and 132,068.81

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Solution

The fourth proportional to 464,492.81, 696,856.30 and 132,068.81 is: 198,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,492.81 : 696,856.30 = 132,068.81 : x
  2. Step 2: Convert to fraction form
    464,492.81/696,856.30 = 132,068.81/x
  3. Step 3: Cross multiply
    464,492.81x = 696,856.30 × 132,068.81
  4. Step 4: Simplify right side
    464,492.81x = 92,032,983,693.97
  5. Step 5: Solve for x
    x = 92,032,983,693.97/464,492.81
  6. Step 6: Final answer
    x = 198,136.51

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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.