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Finding the Fourth Proportional to 118,214.30, 177,321.45 and 56,006.30

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Solution

The fourth proportional to 118,214.30, 177,321.45 and 56,006.30 is: 84,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,214.30 : 177,321.45 = 56,006.30 : x
  2. Step 2: Convert to fraction form
    118,214.30/177,321.45 = 56,006.30/x
  3. Step 3: Cross multiply
    118,214.30x = 177,321.45 × 56,006.30
  4. Step 4: Simplify right side
    118,214.30x = 9,931,118,325.14
  5. Step 5: Solve for x
    x = 9,931,118,325.14/118,214.30
  6. Step 6: Final answer
    x = 84,009.45

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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.