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Finding the Fourth Proportional to 157,028.35, 216,688.45 and 85,406.83

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Solution

The fourth proportional to 157,028.35, 216,688.45 and 85,406.83 is: 117,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,028.35 : 216,688.45 = 85,406.83 : x
  2. Step 2: Convert to fraction form
    157,028.35/216,688.45 = 85,406.83/x
  3. Step 3: Cross multiply
    157,028.35x = 216,688.45 × 85,406.83
  4. Step 4: Simplify right side
    157,028.35x = 18,506,673,612.11
  5. Step 5: Solve for x
    x = 18,506,673,612.11/157,028.35
  6. Step 6: Final answer
    x = 117,855.62

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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.