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Finding the Fourth Proportional to 176,865.80, 265,298.70 and 120,878.60

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Solution

The fourth proportional to 176,865.80, 265,298.70 and 120,878.60 is: 181,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,865.80 : 265,298.70 = 120,878.60 : x
  2. Step 2: Convert to fraction form
    176,865.80/265,298.70 = 120,878.60/x
  3. Step 3: Cross multiply
    176,865.80x = 265,298.70 × 120,878.60
  4. Step 4: Simplify right side
    176,865.80x = 32,068,935,437.82
  5. Step 5: Solve for x
    x = 32,068,935,437.82/176,865.80
  6. Step 6: Final answer
    x = 181,317.90

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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.