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Finding the Fourth Proportional to 176,307.20, 264,460.80 and 106,323.20

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Solution

The fourth proportional to 176,307.20, 264,460.80 and 106,323.20 is: 159,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,307.20 : 264,460.80 = 106,323.20 : x
  2. Step 2: Convert to fraction form
    176,307.20/264,460.80 = 106,323.20/x
  3. Step 3: Cross multiply
    176,307.20x = 264,460.80 × 106,323.20
  4. Step 4: Simplify right side
    176,307.20x = 28,118,318,530.56
  5. Step 5: Solve for x
    x = 28,118,318,530.56/176,307.20
  6. Step 6: Final answer
    x = 159,484.80

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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.