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Finding the Fourth Proportional to 283,212.86, 424,436.56 and 156,848.00

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Solution

The fourth proportional to 283,212.86, 424,436.56 and 156,848.00 is: 235,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,212.86 : 424,436.56 = 156,848.00 : x
  2. Step 2: Convert to fraction form
    283,212.86/424,436.56 = 156,848.00/x
  3. Step 3: Cross multiply
    283,212.86x = 424,436.56 × 156,848.00
  4. Step 4: Simplify right side
    283,212.86x = 66,572,023,048.58
  5. Step 5: Solve for x
    x = 66,572,023,048.58/283,212.86
  6. Step 6: Final answer
    x = 235,060.03

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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.