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Finding the Fourth Proportional to 175,706.62, 242,460.24 and 103,102.01

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Solution

The fourth proportional to 175,706.62, 242,460.24 and 103,102.01 is: 142,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,706.62 : 242,460.24 = 103,102.01 : x
  2. Step 2: Convert to fraction form
    175,706.62/242,460.24 = 103,102.01/x
  3. Step 3: Cross multiply
    175,706.62x = 242,460.24 × 103,102.01
  4. Step 4: Simplify right side
    175,706.62x = 24,998,138,763.21
  5. Step 5: Solve for x
    x = 24,998,138,763.21/175,706.62
  6. Step 6: Final answer
    x = 142,272.04

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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.