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Finding the Fourth Proportional to 214,970.50, 296,663.06 and 118,178.44

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Solution

The fourth proportional to 214,970.50, 296,663.06 and 118,178.44 is: 163,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,970.50 : 296,663.06 = 118,178.44 : x
  2. Step 2: Convert to fraction form
    214,970.50/296,663.06 = 118,178.44/x
  3. Step 3: Cross multiply
    214,970.50x = 296,663.06 × 118,178.44
  4. Step 4: Simplify right side
    214,970.50x = 35,059,177,190.21
  5. Step 5: Solve for x
    x = 35,059,177,190.21/214,970.50
  6. Step 6: Final answer
    x = 163,088.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.