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Finding the Fourth Proportional to 242,397.94, 363,475.24 and 141,228.74

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Solution

The fourth proportional to 242,397.94, 363,475.24 and 141,228.74 is: 211,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,397.94 : 363,475.24 = 141,228.74 : x
  2. Step 2: Convert to fraction form
    242,397.94/363,475.24 = 141,228.74/x
  3. Step 3: Cross multiply
    242,397.94x = 363,475.24 × 141,228.74
  4. Step 4: Simplify right side
    242,397.94x = 51,333,150,166.40
  5. Step 5: Solve for x
    x = 51,333,150,166.40/242,397.94
  6. Step 6: Final answer
    x = 211,772.22

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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.