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Finding the Fourth Proportional to 242,581.70, 364,088.55 and 142,616.90

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Solution

The fourth proportional to 242,581.70, 364,088.55 and 142,616.90 is: 214,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,581.70 : 364,088.55 = 142,616.90 : x
  2. Step 2: Convert to fraction form
    242,581.70/364,088.55 = 142,616.90/x
  3. Step 3: Cross multiply
    242,581.70x = 364,088.55 × 142,616.90
  4. Step 4: Simplify right side
    242,581.70x = 51,925,180,326.50
  5. Step 5: Solve for x
    x = 51,925,180,326.50/242,581.70
  6. Step 6: Final answer
    x = 214,052.34

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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.