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Finding the Fourth Proportional to 200,957.83, 301,582.54 and 161,985.49

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Solution

The fourth proportional to 200,957.83, 301,582.54 and 161,985.49 is: 243,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,957.83 : 301,582.54 = 161,985.49 : x
  2. Step 2: Convert to fraction form
    200,957.83/301,582.54 = 161,985.49/x
  3. Step 3: Cross multiply
    200,957.83x = 301,582.54 × 161,985.49
  4. Step 4: Simplify right side
    200,957.83x = 48,851,994,965.87
  5. Step 5: Solve for x
    x = 48,851,994,965.87/200,957.83
  6. Step 6: Final answer
    x = 243,095.76

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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.