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Finding the Fourth Proportional to 334,688.60, 502,029.70 and 81,970.20

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Solution

The fourth proportional to 334,688.60, 502,029.70 and 81,970.20 is: 122,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,688.60 : 502,029.70 = 81,970.20 : x
  2. Step 2: Convert to fraction form
    334,688.60/502,029.70 = 81,970.20/x
  3. Step 3: Cross multiply
    334,688.60x = 502,029.70 × 81,970.20
  4. Step 4: Simplify right side
    334,688.60x = 41,151,474,914.94
  5. Step 5: Solve for x
    x = 41,151,474,914.94/334,688.60
  6. Step 6: Final answer
    x = 122,954.52

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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.