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Finding the Fourth Proportional to 242,964.48, 363,980.16 and 142,913.28

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Solution

The fourth proportional to 242,964.48, 363,980.16 and 142,913.28 is: 214,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,964.48 : 363,980.16 = 142,913.28 : x
  2. Step 2: Convert to fraction form
    242,964.48/363,980.16 = 142,913.28/x
  3. Step 3: Cross multiply
    242,964.48x = 363,980.16 × 142,913.28
  4. Step 4: Simplify right side
    242,964.48x = 52,017,598,520.52
  5. Step 5: Solve for x
    x = 52,017,598,520.52/242,964.48
  6. Step 6: Final answer
    x = 214,095.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.