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Finding the Fourth Proportional to 176,648.80, 264,368.40 and 106,578.40

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Solution

The fourth proportional to 176,648.80, 264,368.40 and 106,578.40 is: 159,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,648.80 : 264,368.40 = 106,578.40 : x
  2. Step 2: Convert to fraction form
    176,648.80/264,368.40 = 106,578.40/x
  3. Step 3: Cross multiply
    176,648.80x = 264,368.40 × 106,578.40
  4. Step 4: Simplify right side
    176,648.80x = 28,175,961,082.56
  5. Step 5: Solve for x
    x = 28,175,961,082.56/176,648.80
  6. Step 6: Final answer
    x = 159,502.70

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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.