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Finding the Fourth Proportional to 176,586.20, 264,873.35 and 76,746.40

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Solution

The fourth proportional to 176,586.20, 264,873.35 and 76,746.40 is: 115,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,586.20 : 264,873.35 = 76,746.40 : x
  2. Step 2: Convert to fraction form
    176,586.20/264,873.35 = 76,746.40/x
  3. Step 3: Cross multiply
    176,586.20x = 264,873.35 × 76,746.40
  4. Step 4: Simplify right side
    176,586.20x = 20,328,076,068.44
  5. Step 5: Solve for x
    x = 20,328,076,068.44/176,586.20
  6. Step 6: Final answer
    x = 115,117.01

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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.