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Finding the Fourth Proportional to 176,714.02, 265,024.50 and 120,543.67

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Solution

The fourth proportional to 176,714.02, 265,024.50 and 120,543.67 is: 180,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,714.02 : 265,024.50 = 120,543.67 : x
  2. Step 2: Convert to fraction form
    176,714.02/265,024.50 = 120,543.67/x
  3. Step 3: Cross multiply
    176,714.02x = 265,024.50 × 120,543.67
  4. Step 4: Simplify right side
    176,714.02x = 31,947,025,869.92
  5. Step 5: Solve for x
    x = 31,947,025,869.92/176,714.02
  6. Step 6: Final answer
    x = 180,783.77

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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.