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Finding the Fourth Proportional to 257,985.54, 386,878.68 and 100,192.68

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Solution

The fourth proportional to 257,985.54, 386,878.68 and 100,192.68 is: 150,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,985.54 : 386,878.68 = 100,192.68 : x
  2. Step 2: Convert to fraction form
    257,985.54/386,878.68 = 100,192.68/x
  3. Step 3: Cross multiply
    257,985.54x = 386,878.68 × 100,192.68
  4. Step 4: Simplify right side
    257,985.54x = 38,762,411,784.06
  5. Step 5: Solve for x
    x = 38,762,411,784.06/257,985.54
  6. Step 6: Final answer
    x = 150,250.33

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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.