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Finding the Fourth Proportional to 334,742.80, 502,114.20 and 85,424.80

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Solution

The fourth proportional to 334,742.80, 502,114.20 and 85,424.80 is: 128,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,742.80 : 502,114.20 = 85,424.80 : x
  2. Step 2: Convert to fraction form
    334,742.80/502,114.20 = 85,424.80/x
  3. Step 3: Cross multiply
    334,742.80x = 502,114.20 × 85,424.80
  4. Step 4: Simplify right side
    334,742.80x = 42,893,005,112.16
  5. Step 5: Solve for x
    x = 42,893,005,112.16/334,742.80
  6. Step 6: Final answer
    x = 128,137.20

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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.