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Finding the Fourth Proportional to 176,905, 265,357.50 and 52,255.72

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Solution

The fourth proportional to 176,905, 265,357.50 and 52,255.72 is: 78,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,905 : 265,357.50 = 52,255.72 : x
  2. Step 2: Convert to fraction form
    176,905/265,357.50 = 52,255.72/x
  3. Step 3: Cross multiply
    176,905x = 265,357.50 × 52,255.72
  4. Step 4: Simplify right side
    176,905x = 13,866,447,219.90
  5. Step 5: Solve for x
    x = 13,866,447,219.90/176,905
  6. Step 6: Final answer
    x = 78,383.58

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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.