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Finding the Fourth Proportional to 623,142.98, 934,714.47 and 149,828.33

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Solution

The fourth proportional to 623,142.98, 934,714.47 and 149,828.33 is: 224,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,142.98 : 934,714.47 = 149,828.33 : x
  2. Step 2: Convert to fraction form
    623,142.98/934,714.47 = 149,828.33/x
  3. Step 3: Cross multiply
    623,142.98x = 934,714.47 × 149,828.33
  4. Step 4: Simplify right side
    623,142.98x = 140,046,708,066.94
  5. Step 5: Solve for x
    x = 140,046,708,066.94/623,142.98
  6. Step 6: Final answer
    x = 224,742.50

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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.