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Finding the Fourth Proportional to 242,216.64, 334,069.60 and 157,361.04

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Solution

The fourth proportional to 242,216.64, 334,069.60 and 157,361.04 is: 217,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,216.64 : 334,069.60 = 157,361.04 : x
  2. Step 2: Convert to fraction form
    242,216.64/334,069.60 = 157,361.04/x
  3. Step 3: Cross multiply
    242,216.64x = 334,069.60 × 157,361.04
  4. Step 4: Simplify right side
    242,216.64x = 52,569,539,688.38
  5. Step 5: Solve for x
    x = 52,569,539,688.38/242,216.64
  6. Step 6: Final answer
    x = 217,035.21

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Why These Related Problems?

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